D
Identifieur interne : 002590 ( Istex/Corpus ); précédent : 002589; suivant : 002591D
Auteurs : A. G. El In ; M. G. M. Van Doorn ; A. K. Gushchin ; L. D. Kudryavtsev ; V. V. Rumyantsev ; V. I. Sobolev ; B. A. Efimov ; N. Kh. Rozov ; V. T. Bazylev ; I. A. Kvasnikov ; B. I. Golubov ; A. A. Konyushkov ; L. N. Eshukov ; P. P. Korovkin ; A. V. Efimov ; A. A. Zakharov ; S. M. Vorazhin ; Yu. N. Subbotin ; A. L. Onishchik ; D. P. Kostomarov ; N. M. Nagorny ; V. E. Plisko ; N. M. Khalfina ; S. A. Stepanov ; M. S. Nikulin ; S. I. Adyan ; P. S. Soltan ; A. V. Zabrodin ; L. A. Bokut ; S. Yu. Maslov ; G. E. Mints ; E. M. Chirka ; M. V. Fedoryuk ; N. K. Nikol Ki ; B. S. Pavlov ; A. L. Shmel In ; A. V. Arkhangel Ki ; A. B. Bakushinski ; D. A. Ponomarev ; I. V. Dolgachev ; A. A. Boyarkin ; A. V. Mikhalev ; M. I. Vo Tsekhovski ; A. V. Prokhorov ; L. E. Re Zin ; A. M. Il N ; G. N. Dyubin ; D. P. Zhelobenko ; V. P. Chistyakov ; A. V. Khokhlov ; V. A. Dushski ; M. Sh. Farber ; E. D. Solomentsev ; V. D. Kukin ; A. A. Mal Sev ; M. A. Shtan O ; T. P. Lukashenko ; Rédigé Par C. Mayer ; E. M. Nikishin ; B. M. Bredikhin ; R. A. Minlos ; N. G. Ushakov ; V. A. Skvortsov ; V. E. Tarakanov ; V. I. Danilov ; G. P. Tolstov ; D. V. Anosov ; S. N. Artemov ; L. A. Skornyakov ; E. V. Shikin ; I. V. Proskuryakov ; Yu. A. Kuznetsov ; A. B. Ivanov ; V. I. Ponomarev ; A. V. Chernavski ; D. A. Suprunenko ; V. I. Nechaev ; Yu. I. Merzlyakov ; O. A. Ivanova ; V. V. Fedorchuk ; V. L. Popov ; N. A. Karpova ; R. A. Prokhorova ; M. M. Potapov ; V. D. Mazurov ; Yu. B. Rudyak ; A. V. Gulin ; A. A. Samarski ; N. S. Bakhvalov ; L. A. Oganesyan ; Yu. M. Davydov ; V. E. Tarankanov ; A. B. Vasil Va ; E. V. Pankrat V ; R. L. Dobrushin ; V. V. Prelov ; A. A. Dezin ; E. F. Mishchenko ; A. V. Bitsadze ; I. N. Vekua ; A. M. Nakhushev ; I. A. Shishmarev ; E. I. Moiseev ; V. D. Kupradze ; F. P. Vasil V ; N. N. Kuznetsov ; B. L. Rozhdestvenski ; I. P. Makarov ; S. S. Ga Saryan ; A. D. Myshkis ; M. S. Nikol Ki ; A. I. Subbotin ; Ü. Lumiste ; A. V. Pogorelov ; D. V. Alekseevski ; A. F. Filippov ; V. I. Shulikovski ; A. I. Shtern ; S. P. Novikov ; V. A. Morozov ; O. G. Smolyanov ; V. M. Tikhomirov ; V. M. Babich ; V. A. Chuyanov ; L. I. Kamynin ; Yu. A. Rozanov ; V. A. Iskovskikh ; B. A. Pasynkov ; P. S. Aleksandrov ; L. I. Sedov ; D. D. Sokolov ; V. G. Sprindzhuk ; S. M. Voronin ; Yu. V. Matiyasevich ; A. N. Parshin ; V. G. Krechet ; M. Sh. Tsalenko ; A. I. Loginov ; A. F. Lavrik ; L. N. Bol Hev ; A. Yanushauskas ; A. F. Leont V ; E. A. Bredikhina ; I. B. Vapnyarski ; V. M. Solodov ; V. B. Kudryavtsev ; E. B. Vinberg ; A. P. Terekhin ; Yu. I. Zhuravlev ; G. A. Sardanashvili ; S. M. Sirota ; E. G. D Akonov ; E. N. Kuz In ; N. M. Mitrofanova ; A. P. Khusu ; S. K. Sobolev ; V. N. Tutubalin ; V. S. Vladimirov ; V. A. Dorodnitsyn ; I. S. Iokhvidov ; K. S. Swirski ; E. G. Goluzina ; Yu. V. Prokhorov ; V. V. Sazonov ; V. D. Belousov ; D. M. Smirnov ; L. P. Kuptsov ; I. I. Volkov ; L. V. Kuz In ; M. Shirinbekov ; V. N. Grishin ; I. N. Vrublevskaya ; M. M. Popov ; F. A. Kabakov ; A. F. Shapkin ; V. K. Domanski ; G. S. Chogoshvili ; V. P. Palamodov ; A. I. Markusevich ; S. Ya. Khavinson ; A. I. Kostrikin ; A. S. Parkhomenko ; M. I. Vo Sekhovski ; T. S. Fofanova ; W. Glagolev ; E. G. Sklyarenko ; A. A. Kirillov ; K. Bulota ; E. B. Yanovskaya ; I. Kh. Sabitov ; E. G. Sobolevskaya ; L. A. Molotkov ; S. A. Ashmanov ; V. G. Karmanov ; E. N. Berezkin ; A. V. LykovSource :
- Encyclopaedia of Mathematics ; 1995.
Abstract
Abstract: δ-σ-OPERATION - A set-theoretic operation, the result of its application to a sequence (E n ) of sets can be noted thus: φ ( E n ) = ∪ z ∈ N ∩ n ∈ z E n , $$\varphi \left( {E_n } \right) = \bigcup\limits_{z \in N} {\bigcap\limits_{n \in z} {E_n ,} } $$ where N is a system of sets of positive integers, called the base of the δ-σ-operation. See Descriptive set theory.
Url:
DOI: 10.1007/978-1-4899-3795-7_2
Links to Exploration step
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<author><name sortKey="Sobolev, V I" sort="Sobolev, V I" uniqKey="Sobolev V" first="V. I." last="Sobolev">V. I. Sobolev</name>
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<author><name sortKey="Rozov, N Kh" sort="Rozov, N Kh" uniqKey="Rozov N" first="N. Kh." last="Rozov">N. Kh. Rozov</name>
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<author><name sortKey="Golubov, B I" sort="Golubov, B I" uniqKey="Golubov B" first="B. I." last="Golubov">B. I. Golubov</name>
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<author><name sortKey="Korovkin, P P" sort="Korovkin, P P" uniqKey="Korovkin P" first="P. P." last="Korovkin">P. P. Korovkin</name>
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<author><name sortKey="Efimov, A V" sort="Efimov, A V" uniqKey="Efimov A" first="A. V." last="Efimov">A. V. Efimov</name>
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<author><name sortKey="Zakharov, A A" sort="Zakharov, A A" uniqKey="Zakharov A" first="A. A." last="Zakharov">A. A. Zakharov</name>
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<author><name sortKey="Vorazhin, S M" sort="Vorazhin, S M" uniqKey="Vorazhin S" first="S. M." last="Vorazhin">S. M. Vorazhin</name>
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<author><name sortKey="Khalfina, N M" sort="Khalfina, N M" uniqKey="Khalfina N" first="N. M." last="Khalfina">N. M. Khalfina</name>
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<author><name sortKey="Stepanov, S A" sort="Stepanov, S A" uniqKey="Stepanov S" first="S. A." last="Stepanov">S. A. Stepanov</name>
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<author><name sortKey="Nikulin, M S" sort="Nikulin, M S" uniqKey="Nikulin M" first="M. S." last="Nikulin">M. S. Nikulin</name>
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<author><name sortKey="Adyan, S I" sort="Adyan, S I" uniqKey="Adyan S" first="S. I." last="Adyan">S. I. Adyan</name>
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<author><name sortKey="Soltan, P S" sort="Soltan, P S" uniqKey="Soltan P" first="P. S." last="Soltan">P. S. Soltan</name>
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<author><name sortKey="Zabrodin, A V" sort="Zabrodin, A V" uniqKey="Zabrodin A" first="A. V." last="Zabrodin">A. V. Zabrodin</name>
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<author><name sortKey="Bokut, L A" sort="Bokut, L A" uniqKey="Bokut L" first="L. A." last="Bokut">L. A. Bokut</name>
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<author><name sortKey="Maslov, S Yu" sort="Maslov, S Yu" uniqKey="Maslov S" first="S. Yu." last="Maslov">S. Yu. Maslov</name>
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<author><name sortKey="Mints, G E" sort="Mints, G E" uniqKey="Mints G" first="G. E." last="Mints">G. E. Mints</name>
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<author><name sortKey="Chirka, E M" sort="Chirka, E M" uniqKey="Chirka E" first="E. M." last="Chirka">E. M. Chirka</name>
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<author><name sortKey="Fedoryuk, M V" sort="Fedoryuk, M V" uniqKey="Fedoryuk M" first="M. V." last="Fedoryuk">M. V. Fedoryuk</name>
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<author><name sortKey="Nikol Ki, N K" sort="Nikol Ki, N K" uniqKey="Nikol Ki N" first="N. K." last="Nikol Ki">N. K. Nikol Ki</name>
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<author><name sortKey="Pavlov, B S" sort="Pavlov, B S" uniqKey="Pavlov B" first="B. S." last="Pavlov">B. S. Pavlov</name>
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<author><name sortKey="Shmel In, A L" sort="Shmel In, A L" uniqKey="Shmel In A" first="A. L." last="Shmel In">A. L. Shmel In</name>
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<author><name sortKey="Arkhangel Ki, A V" sort="Arkhangel Ki, A V" uniqKey="Arkhangel Ki A" first="A. V." last="Arkhangel Ki">A. V. Arkhangel Ki</name>
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<author><name sortKey="Zhelobenko, D P" sort="Zhelobenko, D P" uniqKey="Zhelobenko D" first="D. P." last="Zhelobenko">D. P. Zhelobenko</name>
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<author><name sortKey="Chistyakov, V P" sort="Chistyakov, V P" uniqKey="Chistyakov V" first="V. P." last="Chistyakov">V. P. Chistyakov</name>
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<author><name sortKey="Khokhlov, A V" sort="Khokhlov, A V" uniqKey="Khokhlov A" first="A. V." last="Khokhlov">A. V. Khokhlov</name>
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<author><name sortKey="Dushski, V A" sort="Dushski, V A" uniqKey="Dushski V" first="V. A." last="Dushski">V. A. Dushski</name>
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<author><name sortKey="Farber, M Sh" sort="Farber, M Sh" uniqKey="Farber M" first="M. Sh." last="Farber">M. Sh. Farber</name>
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<author><name sortKey="Solomentsev, E D" sort="Solomentsev, E D" uniqKey="Solomentsev E" first="E. D." last="Solomentsev">E. D. Solomentsev</name>
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<author><name sortKey="Kukin, V D" sort="Kukin, V D" uniqKey="Kukin V" first="V. D." last="Kukin">V. D. Kukin</name>
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<author><name sortKey="Mal Sev, A A" sort="Mal Sev, A A" uniqKey="Mal Sev A" first="A. A." last="Mal Sev">A. A. Mal Sev</name>
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<author><name sortKey="Shtan O, M A" sort="Shtan O, M A" uniqKey="Shtan O M" first="M. A." last="Shtan O">M. A. Shtan O</name>
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<author><name sortKey="Lukashenko, T P" sort="Lukashenko, T P" uniqKey="Lukashenko T" first="T. P." last="Lukashenko">T. P. Lukashenko</name>
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<author><name sortKey="Mayer, Redige Par C" sort="Mayer, Redige Par C" uniqKey="Mayer R" first="Rédigé Par C." last="Mayer">Rédigé Par C. Mayer</name>
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<author><name sortKey="Nikishin, E M" sort="Nikishin, E M" uniqKey="Nikishin E" first="E. M." last="Nikishin">E. M. Nikishin</name>
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<author><name sortKey="Bredikhin, B M" sort="Bredikhin, B M" uniqKey="Bredikhin B" first="B. M." last="Bredikhin">B. M. Bredikhin</name>
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<author><name sortKey="Minlos, R A" sort="Minlos, R A" uniqKey="Minlos R" first="R. A." last="Minlos">R. A. Minlos</name>
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<author><name sortKey="Ushakov, N G" sort="Ushakov, N G" uniqKey="Ushakov N" first="N. G." last="Ushakov">N. G. Ushakov</name>
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<author><name sortKey="Skvortsov, V A" sort="Skvortsov, V A" uniqKey="Skvortsov V" first="V. A." last="Skvortsov">V. A. Skvortsov</name>
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<author><name sortKey="Tarakanov, V E" sort="Tarakanov, V E" uniqKey="Tarakanov V" first="V. E." last="Tarakanov">V. E. Tarakanov</name>
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<author><name sortKey="Danilov, V I" sort="Danilov, V I" uniqKey="Danilov V" first="V. I." last="Danilov">V. I. Danilov</name>
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<author><name sortKey="Tolstov, G P" sort="Tolstov, G P" uniqKey="Tolstov G" first="G. P." last="Tolstov">G. P. Tolstov</name>
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<author><name sortKey="Anosov, D V" sort="Anosov, D V" uniqKey="Anosov D" first="D. V." last="Anosov">D. V. Anosov</name>
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<author><name sortKey="Artemov, S N" sort="Artemov, S N" uniqKey="Artemov S" first="S. N." last="Artemov">S. N. Artemov</name>
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<author><name sortKey="Skornyakov, L A" sort="Skornyakov, L A" uniqKey="Skornyakov L" first="L. A." last="Skornyakov">L. A. Skornyakov</name>
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<author><name sortKey="Shikin, E V" sort="Shikin, E V" uniqKey="Shikin E" first="E. V." last="Shikin">E. V. Shikin</name>
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<author><name sortKey="Proskuryakov, I V" sort="Proskuryakov, I V" uniqKey="Proskuryakov I" first="I. V." last="Proskuryakov">I. V. Proskuryakov</name>
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<author><name sortKey="Kuznetsov, Yu A" sort="Kuznetsov, Yu A" uniqKey="Kuznetsov Y" first="Yu. A." last="Kuznetsov">Yu. A. Kuznetsov</name>
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<author><name sortKey="Ponomarev, V I" sort="Ponomarev, V I" uniqKey="Ponomarev V" first="V. I." last="Ponomarev">V. I. Ponomarev</name>
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<author><name sortKey="Chernavski, A V" sort="Chernavski, A V" uniqKey="Chernavski A" first="A. V." last="Chernavski">A. V. Chernavski</name>
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<author><name sortKey="Suprunenko, D A" sort="Suprunenko, D A" uniqKey="Suprunenko D" first="D. A." last="Suprunenko">D. A. Suprunenko</name>
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<author><name sortKey="Nechaev, V I" sort="Nechaev, V I" uniqKey="Nechaev V" first="V. I." last="Nechaev">V. I. Nechaev</name>
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<author><name sortKey="Merzlyakov, Yu I" sort="Merzlyakov, Yu I" uniqKey="Merzlyakov Y" first="Yu. I." last="Merzlyakov">Yu. I. Merzlyakov</name>
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<author><name sortKey="Ivanova, O A" sort="Ivanova, O A" uniqKey="Ivanova O" first="O. A." last="Ivanova">O. A. Ivanova</name>
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<author><name sortKey="Fedorchuk, V V" sort="Fedorchuk, V V" uniqKey="Fedorchuk V" first="V. V." last="Fedorchuk">V. V. Fedorchuk</name>
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<author><name sortKey="Popov, V L" sort="Popov, V L" uniqKey="Popov V" first="V. L." last="Popov">V. L. Popov</name>
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<author><name sortKey="Karpova, N A" sort="Karpova, N A" uniqKey="Karpova N" first="N. A." last="Karpova">N. A. Karpova</name>
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<author><name sortKey="Prokhorova, R A" sort="Prokhorova, R A" uniqKey="Prokhorova R" first="R. A." last="Prokhorova">R. A. Prokhorova</name>
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<author><name sortKey="Potapov, M M" sort="Potapov, M M" uniqKey="Potapov M" first="M. M." last="Potapov">M. M. Potapov</name>
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<author><name sortKey="Mazurov, V D" sort="Mazurov, V D" uniqKey="Mazurov V" first="V. D." last="Mazurov">V. D. Mazurov</name>
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<author><name sortKey="Rudyak, Yu B" sort="Rudyak, Yu B" uniqKey="Rudyak Y" first="Yu. B." last="Rudyak">Yu. B. Rudyak</name>
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<author><name sortKey="Gulin, A V" sort="Gulin, A V" uniqKey="Gulin A" first="A. V." last="Gulin">A. V. Gulin</name>
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<author><name sortKey="Samarski, A A" sort="Samarski, A A" uniqKey="Samarski A" first="A. A." last="Samarski">A. A. Samarski</name>
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<author><name sortKey="Bakhvalov, N S" sort="Bakhvalov, N S" uniqKey="Bakhvalov N" first="N. S." last="Bakhvalov">N. S. Bakhvalov</name>
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<author><name sortKey="Oganesyan, L A" sort="Oganesyan, L A" uniqKey="Oganesyan L" first="L. A." last="Oganesyan">L. A. Oganesyan</name>
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<author><name sortKey="Davydov, Yu M" sort="Davydov, Yu M" uniqKey="Davydov Y" first="Yu. M." last="Davydov">Yu. M. Davydov</name>
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<author><name sortKey="Tarankanov, V E" sort="Tarankanov, V E" uniqKey="Tarankanov V" first="V. E." last="Tarankanov">V. E. Tarankanov</name>
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<author><name sortKey="Vasil Va, A B" sort="Vasil Va, A B" uniqKey="Vasil Va A" first="A. B." last="Vasil Va">A. B. Vasil Va</name>
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<author><name sortKey="Pankrat V, E V" sort="Pankrat V, E V" uniqKey="Pankrat V E" first="E. V." last="Pankrat V">E. V. Pankrat V</name>
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<author><name sortKey="Dobrushin, R L" sort="Dobrushin, R L" uniqKey="Dobrushin R" first="R. L." last="Dobrushin">R. L. Dobrushin</name>
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<author><name sortKey="Prelov, V V" sort="Prelov, V V" uniqKey="Prelov V" first="V. V." last="Prelov">V. V. Prelov</name>
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<author><name sortKey="Dezin, A A" sort="Dezin, A A" uniqKey="Dezin A" first="A. A." last="Dezin">A. A. Dezin</name>
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<author><name sortKey="Mishchenko, E F" sort="Mishchenko, E F" uniqKey="Mishchenko E" first="E. F." last="Mishchenko">E. F. Mishchenko</name>
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<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:B76480E9FC4C365C8FB85E94D23264C4CDE24827</idno>
<date when="1995" year="1995">1995</date>
<idno type="doi">10.1007/978-1-4899-3795-7_2</idno>
<idno type="url">https://api.istex.fr/document/B76480E9FC4C365C8FB85E94D23264C4CDE24827/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">002590</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002590</idno>
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<author><name sortKey="Ashmanov, S A" sort="Ashmanov, S A" uniqKey="Ashmanov S" first="S. A." last="Ashmanov">S. A. Ashmanov</name>
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<author><name sortKey="Berezkin, E N" sort="Berezkin, E N" uniqKey="Berezkin E" first="E. N." last="Berezkin">E. N. Berezkin</name>
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<monogr></monogr>
<series><title level="s">Encyclopaedia of Mathematics</title>
<imprint><date>1995</date>
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<front><div type="abstract" xml:lang="en">Abstract: δ-σ-OPERATION - A set-theoretic operation, the result of its application to a sequence (E n ) of sets can be noted thus: φ ( E n ) = ∪ z ∈ N ∩ n ∈ z E n , $$\varphi \left( {E_n } \right) = \bigcup\limits_{z \in N} {\bigcap\limits_{n \in z} {E_n ,} } $$ where N is a system of sets of positive integers, called the base of the δ-σ-operation. See Descriptive set theory.</div>
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<abstract>Abstract: δ-σ-OPERATION - A set-theoretic operation, the result of its application to a sequence (E n ) of sets can be noted thus: >m:math display="block"> >m:mrow> >m:mi>φ>/m:mi>>m:mrow>>m:mo>(>/m:mo> >m:mrow> >m:msub> >m:mi>E>/m:mi> >m:mi>n>/m:mi> >/m:msub> >/m:mrow> >m:mo>)>/m:mo>>/m:mrow>>m:mo>=>/m:mo>>m:mstyle displaystyle="true"> >m:munder> >m:mo>∪>/m:mo> >m:mrow> >m:mi>z>/m:mi>>m:mo>∈>/m:mo>>m:mi>N>/m:mi> >/m:mrow> >/m:munder> >m:mrow> >m:mstyle displaystyle="true"> >m:munder> >m:mo>∩>/m:mo> >m:mrow> >m:mi>n>/m:mi>>m:mo>∈>/m:mo>>m:mi>z>/m:mi> >/m:mrow> >/m:munder> >m:mrow> >m:msub> >m:mi>E>/m:mi> >m:mi>n>/m:mi> >/m:msub> >m:mo>,>/m:mo> >/m:mrow> >/m:mstyle> >/m:mrow> >/m:mstyle> >/m:mrow> >/m:math> $$\varphi \left( {E_n } \right) = \bigcup\limits_{z \in N} {\bigcap\limits_{n \in z} {E_n ,} } $$ where N is a system of sets of positive integers, called the base of the δ-σ-operation. See Descriptive set theory.</abstract>
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<GivenName>Ya.</GivenName>
<FamilyName>Khavinson</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>A.</GivenName>
<GivenName>I.</GivenName>
<FamilyName>Kostrikin</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>A.</GivenName>
<GivenName>S.</GivenName>
<FamilyName>Parkhomenko</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>M.</GivenName>
<GivenName>I.</GivenName>
<FamilyName>Voĭsekhovskiĭ</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>T.</GivenName>
<GivenName>S.</GivenName>
<FamilyName>Fofanova</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>W.</GivenName>
<FamilyName>Glagolev</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>E.</GivenName>
<GivenName>G.</GivenName>
<FamilyName>Sklyarenko</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>A.</GivenName>
<GivenName>A.</GivenName>
<FamilyName>Kirillov</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>K.</GivenName>
<FamilyName>Bulota</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>E.</GivenName>
<GivenName>B.</GivenName>
<FamilyName>Yanovskaya</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>I.</GivenName>
<GivenName>Kh.</GivenName>
<FamilyName>Sabitov</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>E.</GivenName>
<GivenName>G.</GivenName>
<FamilyName>Sobolevskaya</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>L.</GivenName>
<GivenName>A.</GivenName>
<FamilyName>Molotkov</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>S.</GivenName>
<GivenName>A.</GivenName>
<FamilyName>Ashmanov</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>V.</GivenName>
<GivenName>G.</GivenName>
<FamilyName>Karmanov</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>E.</GivenName>
<GivenName>N.</GivenName>
<FamilyName>Berezkin</FamilyName>
</AuthorName>
</Author>
<Author><AuthorName DisplayOrder="Western"><GivenName>A.</GivenName>
<GivenName>V.</GivenName>
<FamilyName>Lykov</FamilyName>
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</Author>
</AuthorGroup>
<Abstract ID="Abs1" Language="En" OutputMedium="Online"><Heading>Abstract</Heading>
<Para><Emphasis Type="Bold">δ-σ-OPERATION</Emphasis>
- A set-theoretic operation, the result of its application to a sequence (<Emphasis Type="Italic">E</Emphasis>
<Subscript><Emphasis Type="Italic">n</Emphasis>
</Subscript>
) of sets can be noted thus:<Equation ID="Equa"><MediaObject><ImageObject Color="BlackWhite" FileRef="978-1-4899-3795-7_2_Chapter_TeX2GIF_Equa.gif" Format="GIF" Rendition="HTML" Type="Linedraw"></ImageObject>
</MediaObject>
<EquationSource Format="MATHML">
φ (
E
n
) =
∪
z ∈ N
∩
n ∈ z
E
n
,
</EquationSource>
<EquationSource Format="TEX">$$\varphi \left( {E_n } \right) = \bigcup\limits_{z \in N} {\bigcap\limits_{n \in z} {E_n ,} } $$</EquationSource>
</Equation>
where <Emphasis Type="Italic">N</Emphasis>
is a system of sets of positive integers, called the <Emphasis Type="Italic">base of the</Emphasis>
δ-σ<Emphasis Type="Italic">-operation.</Emphasis>
See <Emphasis Type="Bold">Descriptive set theory</Emphasis>
.</Para>
</Abstract>
</ChapterHeader>
<NoBody></NoBody>
</Chapter>
</Book>
</Series>
</Publisher>
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<abstract lang="en">Abstract: δ-σ-OPERATION - A set-theoretic operation, the result of its application to a sequence (E n ) of sets can be noted thus: φ ( E n ) = ∪ z ∈ N ∩ n ∈ z E n , $$\varphi \left( {E_n } \right) = \bigcup\limits_{z \in N} {\bigcap\limits_{n \in z} {E_n ,} } $$ where N is a system of sets of positive integers, called the base of the δ-σ-operation. See Descriptive set theory.</abstract>
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