D
Identifieur interne : 002590 ( Istex/Curation ); 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
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Oganesyan</name></author><author><name sortKey="Davydov, Yu M" sort="Davydov, Yu M" uniqKey="Davydov Y" first="Yu. M." last="Davydov">Yu. M. Davydov</name></author><author><name sortKey="Tarankanov, V E" sort="Tarankanov, V E" uniqKey="Tarankanov V" first="V. E." last="Tarankanov">V. E. Tarankanov</name></author><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></author><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></author><author><name sortKey="Dobrushin, R L" sort="Dobrushin, R L" uniqKey="Dobrushin R" first="R. L." last="Dobrushin">R. L. Dobrushin</name></author><author><name sortKey="Prelov, V V" sort="Prelov, V V" uniqKey="Prelov V" first="V. V." last="Prelov">V. V. Prelov</name></author><author><name sortKey="Dezin, A A" sort="Dezin, A A" uniqKey="Dezin A" first="A. A." last="Dezin">A. A. Dezin</name></author><author><name sortKey="Mishchenko, E F" sort="Mishchenko, E F" uniqKey="Mishchenko E" first="E. F." last="Mishchenko">E. F. Mishchenko</name></author><author><name sortKey="Bitsadze, A V" sort="Bitsadze, A V" uniqKey="Bitsadze A" first="A. V." last="Bitsadze">A. V. Bitsadze</name></author><author><name sortKey="Vekua, I N" sort="Vekua, I N" uniqKey="Vekua I" first="I. N." last="Vekua">I. N. Vekua</name></author><author><name sortKey="Nakhushev, A M" sort="Nakhushev, A M" uniqKey="Nakhushev A" first="A. M." last="Nakhushev">A. M. Nakhushev</name></author><author><name sortKey="Shishmarev, I A" sort="Shishmarev, I A" uniqKey="Shishmarev I" first="I. A." last="Shishmarev">I. A. Shishmarev</name></author><author><name sortKey="Moiseev, E I" sort="Moiseev, E I" uniqKey="Moiseev E" first="E. I." last="Moiseev">E. I. Moiseev</name></author><author><name sortKey="Kupradze, V D" sort="Kupradze, V D" uniqKey="Kupradze V" first="V. D." last="Kupradze">V. D. 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P." last="Terekhin">A. P. Terekhin</name></author><author><name sortKey="Zhuravlev, Yu I" sort="Zhuravlev, Yu I" uniqKey="Zhuravlev Y" first="Yu. I." last="Zhuravlev">Yu. I. Zhuravlev</name></author><author><name sortKey="Sardanashvili, G A" sort="Sardanashvili, G A" uniqKey="Sardanashvili G" first="G. A." last="Sardanashvili">G. A. Sardanashvili</name></author><author><name sortKey="Sirota, S M" sort="Sirota, S M" uniqKey="Sirota S" first="S. M." last="Sirota">S. M. Sirota</name></author><author><name sortKey="D Akonov, E G" sort="D Akonov, E G" uniqKey="D Akonov E" first="E. G." last="D Akonov">E. G. D Akonov</name></author><author><name sortKey="Kuz In, E N" sort="Kuz In, E N" uniqKey="Kuz In E" first="E. N." last="Kuz In">E. N. Kuz In</name></author><author><name sortKey="Mitrofanova, N M" sort="Mitrofanova, N M" uniqKey="Mitrofanova N" first="N. M." last="Mitrofanova">N. M. Mitrofanova</name></author><author><name sortKey="Khusu, A P" sort="Khusu, A P" uniqKey="Khusu A" first="A. P." last="Khusu">A. P. Khusu</name></author><author><name sortKey="Sobolev, S K" sort="Sobolev, S K" uniqKey="Sobolev S" first="S. K." last="Sobolev">S. K. Sobolev</name></author><author><name sortKey="Tutubalin, V N" sort="Tutubalin, V N" uniqKey="Tutubalin V" first="V. N." last="Tutubalin">V. N. Tutubalin</name></author><author><name sortKey="Vladimirov, V S" sort="Vladimirov, V S" uniqKey="Vladimirov V" first="V. S." last="Vladimirov">V. S. Vladimirov</name></author><author><name sortKey="Dorodnitsyn, V A" sort="Dorodnitsyn, V A" uniqKey="Dorodnitsyn V" first="V. A." last="Dorodnitsyn">V. A. Dorodnitsyn</name></author><author><name sortKey="Iokhvidov, I S" sort="Iokhvidov, I S" uniqKey="Iokhvidov I" first="I. S." last="Iokhvidov">I. S. Iokhvidov</name></author><author><name sortKey="Swirski, K S" sort="Swirski, K S" uniqKey="Swirski K" first="K. S." last="Swirski">K. S. Swirski</name></author><author><name sortKey="Goluzina, E G" sort="Goluzina, E G" uniqKey="Goluzina E" first="E. G." last="Goluzina">E. G. Goluzina</name></author><author><name sortKey="Prokhorov, Yu V" sort="Prokhorov, Yu V" uniqKey="Prokhorov Y" first="Yu. V." last="Prokhorov">Yu. V. Prokhorov</name></author><author><name sortKey="Sazonov, V V" sort="Sazonov, V V" uniqKey="Sazonov V" first="V. V." last="Sazonov">V. V. Sazonov</name></author><author><name sortKey="Belousov, V D" sort="Belousov, V D" uniqKey="Belousov V" first="V. D." last="Belousov">V. D. Belousov</name></author><author><name sortKey="Smirnov, D M" sort="Smirnov, D M" uniqKey="Smirnov D" first="D. M." last="Smirnov">D. M. Smirnov</name></author><author><name sortKey="Kuptsov, L P" sort="Kuptsov, L P" uniqKey="Kuptsov L" first="L. P." last="Kuptsov">L. P. Kuptsov</name></author><author><name sortKey="Volkov, I I" sort="Volkov, I I" uniqKey="Volkov I" first="I. I." last="Volkov">I. I. Volkov</name></author><author><name sortKey="Kuz In, L V" sort="Kuz In, L V" uniqKey="Kuz In L" first="L. V." last="Kuz In">L. V. Kuz In</name></author><author><name sortKey="Shirinbekov, M" sort="Shirinbekov, M" uniqKey="Shirinbekov M" first="M." last="Shirinbekov">M. Shirinbekov</name></author><author><name sortKey="Grishin, V N" sort="Grishin, V N" uniqKey="Grishin V" first="V. N." last="Grishin">V. N. Grishin</name></author><author><name sortKey="Vrublevskaya, I N" sort="Vrublevskaya, I N" uniqKey="Vrublevskaya I" first="I. N." last="Vrublevskaya">I. N. Vrublevskaya</name></author><author><name sortKey="Popov, M M" sort="Popov, M M" uniqKey="Popov M" first="M. M." last="Popov">M. M. Popov</name></author><author><name sortKey="Kabakov, F A" sort="Kabakov, F A" uniqKey="Kabakov F" first="F. A." last="Kabakov">F. A. Kabakov</name></author><author><name sortKey="Shapkin, A F" sort="Shapkin, A F" uniqKey="Shapkin A" first="A. F." last="Shapkin">A. F. Shapkin</name></author><author><name sortKey="Domanski, V K" sort="Domanski, V K" uniqKey="Domanski V" first="V. K." last="Domanski">V. K. Domanski</name></author><author><name sortKey="Chogoshvili, G S" sort="Chogoshvili, G S" uniqKey="Chogoshvili G" first="G. S." last="Chogoshvili">G. S. Chogoshvili</name></author><author><name sortKey="Palamodov, V P" sort="Palamodov, V P" uniqKey="Palamodov V" first="V. P." last="Palamodov">V. P. Palamodov</name></author><author><name sortKey="Markusevich, A I" sort="Markusevich, A I" uniqKey="Markusevich A" first="A. I." last="Markusevich">A. I. Markusevich</name></author><author><name sortKey="Khavinson, S Ya" sort="Khavinson, S Ya" uniqKey="Khavinson S" first="S. Ya." last="Khavinson">S. Ya. Khavinson</name></author><author><name sortKey="Kostrikin, A I" sort="Kostrikin, A I" uniqKey="Kostrikin A" first="A. I." last="Kostrikin">A. I. Kostrikin</name></author><author><name sortKey="Parkhomenko, A S" sort="Parkhomenko, A S" uniqKey="Parkhomenko A" first="A. S." last="Parkhomenko">A. S. Parkhomenko</name></author><author><name sortKey="Vo Sekhovski, M I" sort="Vo Sekhovski, M I" uniqKey="Vo Sekhovski M" first="M. I." last="Vo Sekhovski">M. I. Vo Sekhovski</name></author><author><name sortKey="Fofanova, T S" sort="Fofanova, T S" uniqKey="Fofanova T" first="T. S." last="Fofanova">T. S. Fofanova</name></author><author><name sortKey="Glagolev, W" sort="Glagolev, W" uniqKey="Glagolev W" first="W." last="Glagolev">W. Glagolev</name></author><author><name sortKey="Sklyarenko, E G" sort="Sklyarenko, E G" uniqKey="Sklyarenko E" first="E. G." last="Sklyarenko">E. G. Sklyarenko</name></author><author><name sortKey="Kirillov, A A" sort="Kirillov, A A" uniqKey="Kirillov A" first="A. A." last="Kirillov">A. A. Kirillov</name></author><author><name sortKey="Bulota, K" sort="Bulota, K" uniqKey="Bulota K" first="K." last="Bulota">K. Bulota</name></author><author><name sortKey="Yanovskaya, E B" sort="Yanovskaya, E B" uniqKey="Yanovskaya E" first="E. B." last="Yanovskaya">E. B. Yanovskaya</name></author><author><name sortKey="Sabitov, I Kh" sort="Sabitov, I Kh" uniqKey="Sabitov I" first="I. Kh." last="Sabitov">I. Kh. Sabitov</name></author><author><name sortKey="Sobolevskaya, E G" sort="Sobolevskaya, E G" uniqKey="Sobolevskaya E" first="E. G." last="Sobolevskaya">E. G. Sobolevskaya</name></author><author><name sortKey="Molotkov, L A" sort="Molotkov, L A" uniqKey="Molotkov L" first="L. A." last="Molotkov">L. A. Molotkov</name></author><author><name sortKey="Ashmanov, S A" sort="Ashmanov, S A" uniqKey="Ashmanov S" first="S. A." last="Ashmanov">S. A. Ashmanov</name></author><author><name sortKey="Karmanov, V G" sort="Karmanov, V G" uniqKey="Karmanov V" first="V. G." last="Karmanov">V. G. Karmanov</name></author><author><name sortKey="Berezkin, E N" sort="Berezkin, E N" uniqKey="Berezkin E" first="E. N." last="Berezkin">E. N. Berezkin</name></author><author><name sortKey="Lykov, A V" sort="Lykov, A V" uniqKey="Lykov A" first="A. V." last="Lykov">A. V. Lykov</name></author></analytic><monogr></monogr><series><title level="s">Encyclopaedia of Mathematics</title><imprint><date>1995</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><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></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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