H
Identifieur interne : 001C38 ( Main/Exploration ); précédent : 001C37; suivant : 001C39H
Auteurs : V. I. Ponomarev ; Yu. B. Rudyak ; A. F. Kharshiladze ; Yu. N. Subbotin ; D. P. Zhelobenko ; A. I. Shtern ; B. I. Golubov ; S. A. Rukova ; E. D. Solomentsev ; O. A. Ivanova ; I. A. Aleksandrov ; P. S. Soltan ; V. I. Sobolev ; A. V. Prokhorov ; I. V. Dolgachev ; V. V. Rumyantsev ; I. B. Vapnyarski ; V. D. Mazurov ; V. M. Tikhomirov ; L. P. Kuptsov ; D. V. Anosov ; V. A. Yakubovich ; B. V. Khvedelidze ; S. V. Matveev ; P. I. Lizorkin ; S. V. Shvedenko ; L. D. Kudryavtsev ; B. M. Bredikhin ; A. A. Konyushkov ; Yu. A. Brychkov ; A. P. Prudnikov ; E. M. Nikishin ; E. A. Gorin ; E. A. Grebennikov ; A. B. Ivanov ; A. L. Onishchik ; P. M. Tamrazov ; V. F. Emel Anov ; A. I. Barabanov ; Yu. A. Rozanov ; L. I. Kamynin ; V. A. Skvortsov ; E. M. Chirka ; E. B. Vinberg ; Yu. G. Zarkhin ; I. G. Koshevnikova ; R. A. Minlos ; M. I. Vo Tsekhovski ; A. G. El In ; A. V. Arkhangel Ki ; I. I. Volkov ; E. M. SemenovSource :
- Encyclopaedia of Mathematics ; 1995.
Abstract
Abstract: A Hausdorff space which, under any topological imbedding into an arbitrary Hausdorff space Y, is a closed set in Y. The characteristic property of an H-closed space is that any open covering of the space contains a finite subfamily the closures of the elements of which cover the space. A regular H-closed space is compact. If every closed subspace of a space is H-closed, then the space itself is compact. A theory has been developed for H-closed extensions of Hausdorff spaces.
Url:
DOI: 10.1007/978-1-4899-3795-7_6
Affiliations:
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Le document en format XML
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Shtern</name></author><author><name sortKey="Golubov, B I" sort="Golubov, B I" uniqKey="Golubov B" first="B. I." last="Golubov">B. I. Golubov</name></author><author><name sortKey="Rukova, S A" sort="Rukova, S A" uniqKey="Rukova S" first="S. A." last="Rukova">S. A. Rukova</name></author><author><name sortKey="Solomentsev, E D" sort="Solomentsev, E D" uniqKey="Solomentsev E" first="E. D." last="Solomentsev">E. D. Solomentsev</name></author><author><name sortKey="Ivanova, O A" sort="Ivanova, O A" uniqKey="Ivanova O" first="O. A." last="Ivanova">O. A. Ivanova</name></author><author><name sortKey="Aleksandrov, I A" sort="Aleksandrov, I A" uniqKey="Aleksandrov I" first="I. A." last="Aleksandrov">I. A. Aleksandrov</name></author><author><name sortKey="Soltan, P S" sort="Soltan, P S" uniqKey="Soltan P" first="P. S." last="Soltan">P. S. Soltan</name></author><author><name sortKey="Sobolev, V I" sort="Sobolev, V I" uniqKey="Sobolev V" first="V. I." last="Sobolev">V. I. Sobolev</name></author><author><name sortKey="Prokhorov, A V" sort="Prokhorov, A V" uniqKey="Prokhorov A" first="A. V." last="Prokhorov">A. V. Prokhorov</name></author><author><name sortKey="Dolgachev, I V" sort="Dolgachev, I V" uniqKey="Dolgachev I" first="I. V." last="Dolgachev">I. V. Dolgachev</name></author><author><name sortKey="Rumyantsev, V V" sort="Rumyantsev, V V" uniqKey="Rumyantsev V" first="V. V." last="Rumyantsev">V. V. Rumyantsev</name></author><author><name sortKey="Vapnyarski, I B" sort="Vapnyarski, I B" uniqKey="Vapnyarski I" first="I. B." last="Vapnyarski">I. B. Vapnyarski</name></author><author><name sortKey="Mazurov, V D" sort="Mazurov, V D" uniqKey="Mazurov V" first="V. D." last="Mazurov">V. D. Mazurov</name></author><author><name sortKey="Tikhomirov, V M" sort="Tikhomirov, V M" uniqKey="Tikhomirov V" first="V. M." last="Tikhomirov">V. M. Tikhomirov</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="Anosov, D V" sort="Anosov, D V" uniqKey="Anosov D" first="D. V." last="Anosov">D. V. Anosov</name></author><author><name sortKey="Yakubovich, V A" sort="Yakubovich, V A" uniqKey="Yakubovich V" first="V. A." last="Yakubovich">V. A. Yakubovich</name></author><author><name sortKey="Khvedelidze, B V" sort="Khvedelidze, B V" uniqKey="Khvedelidze B" first="B. V." last="Khvedelidze">B. V. Khvedelidze</name></author><author><name sortKey="Matveev, S V" sort="Matveev, S V" uniqKey="Matveev S" first="S. V." last="Matveev">S. V. Matveev</name></author><author><name sortKey="Lizorkin, P I" sort="Lizorkin, P I" uniqKey="Lizorkin P" first="P. I." last="Lizorkin">P. I. Lizorkin</name></author><author><name sortKey="Shvedenko, S V" sort="Shvedenko, S V" uniqKey="Shvedenko S" first="S. V." last="Shvedenko">S. V. 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A." last="Rozanov">Yu. A. Rozanov</name></author><author><name sortKey="Kamynin, L I" sort="Kamynin, L I" uniqKey="Kamynin L" first="L. I." last="Kamynin">L. I. Kamynin</name></author><author><name sortKey="Skvortsov, V A" sort="Skvortsov, V A" uniqKey="Skvortsov V" first="V. A." last="Skvortsov">V. A. Skvortsov</name></author><author><name sortKey="Chirka, E M" sort="Chirka, E M" uniqKey="Chirka E" first="E. M." last="Chirka">E. M. Chirka</name></author><author><name sortKey="Vinberg, E B" sort="Vinberg, E B" uniqKey="Vinberg E" first="E. B." last="Vinberg">E. B. Vinberg</name></author><author><name sortKey="Zarkhin, Yu G" sort="Zarkhin, Yu G" uniqKey="Zarkhin Y" first="Yu. G." last="Zarkhin">Yu. G. Zarkhin</name></author><author><name sortKey="Koshevnikova, I G" sort="Koshevnikova, I G" uniqKey="Koshevnikova I" first="I. G." last="Koshevnikova">I. G. Koshevnikova</name></author><author><name sortKey="Minlos, R A" sort="Minlos, R A" uniqKey="Minlos R" first="R. A." last="Minlos">R. A. Minlos</name></author><author><name sortKey="Vo Tsekhovski, M I" sort="Vo Tsekhovski, M I" uniqKey="Vo Tsekhovski M" first="M. I." last="Vo Tsekhovski">M. I. Vo Tsekhovski</name></author><author><name sortKey="El In, A G" sort="El In, A G" uniqKey="El In A" first="A. G." last="El In">A. G. El In</name></author><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></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="Semenov, E M" sort="Semenov, E M" uniqKey="Semenov E" first="E. M." last="Semenov">E. M. 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I." last="Ponomarev">V. I. Ponomarev</name></author><author><name sortKey="Rudyak, Yu B" sort="Rudyak, Yu B" uniqKey="Rudyak Y" first="Yu. B." last="Rudyak">Yu. B. Rudyak</name></author><author><name sortKey="Kharshiladze, A F" sort="Kharshiladze, A F" uniqKey="Kharshiladze A" first="A. F." last="Kharshiladze">A. F. Kharshiladze</name></author><author><name sortKey="Subbotin, Yu N" sort="Subbotin, Yu N" uniqKey="Subbotin Y" first="Yu. N." last="Subbotin">Yu. N. Subbotin</name></author><author><name sortKey="Zhelobenko, D P" sort="Zhelobenko, D P" uniqKey="Zhelobenko D" first="D. P." last="Zhelobenko">D. P. Zhelobenko</name></author><author><name sortKey="Shtern, A I" sort="Shtern, A I" uniqKey="Shtern A" first="A. I." last="Shtern">A. I. Shtern</name></author><author><name sortKey="Golubov, B I" sort="Golubov, B I" uniqKey="Golubov B" first="B. I." last="Golubov">B. I. Golubov</name></author><author><name sortKey="Rukova, S A" sort="Rukova, S A" uniqKey="Rukova S" first="S. A." last="Rukova">S. A. Rukova</name></author><author><name sortKey="Solomentsev, E D" sort="Solomentsev, E D" uniqKey="Solomentsev E" first="E. D." last="Solomentsev">E. D. Solomentsev</name></author><author><name sortKey="Ivanova, O A" sort="Ivanova, O A" uniqKey="Ivanova O" first="O. A." last="Ivanova">O. A. Ivanova</name></author><author><name sortKey="Aleksandrov, I A" sort="Aleksandrov, I A" uniqKey="Aleksandrov I" first="I. A." last="Aleksandrov">I. A. Aleksandrov</name></author><author><name sortKey="Soltan, P S" sort="Soltan, P S" uniqKey="Soltan P" first="P. S." last="Soltan">P. S. Soltan</name></author><author><name sortKey="Sobolev, V I" sort="Sobolev, V I" uniqKey="Sobolev V" first="V. I." last="Sobolev">V. I. Sobolev</name></author><author><name sortKey="Prokhorov, A V" sort="Prokhorov, A V" uniqKey="Prokhorov A" first="A. V." last="Prokhorov">A. V. Prokhorov</name></author><author><name sortKey="Dolgachev, I V" sort="Dolgachev, I V" uniqKey="Dolgachev I" first="I. V." last="Dolgachev">I. V. Dolgachev</name></author><author><name sortKey="Rumyantsev, V V" sort="Rumyantsev, V V" uniqKey="Rumyantsev V" first="V. V." last="Rumyantsev">V. V. Rumyantsev</name></author><author><name sortKey="Vapnyarski, I B" sort="Vapnyarski, I B" uniqKey="Vapnyarski I" first="I. B." last="Vapnyarski">I. B. Vapnyarski</name></author><author><name sortKey="Mazurov, V D" sort="Mazurov, V D" uniqKey="Mazurov V" first="V. D." last="Mazurov">V. D. Mazurov</name></author><author><name sortKey="Tikhomirov, V M" sort="Tikhomirov, V M" uniqKey="Tikhomirov V" first="V. M." last="Tikhomirov">V. M. Tikhomirov</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="Anosov, D V" sort="Anosov, D V" uniqKey="Anosov D" first="D. V." last="Anosov">D. V. Anosov</name></author><author><name sortKey="Yakubovich, V A" sort="Yakubovich, V A" uniqKey="Yakubovich V" first="V. A." last="Yakubovich">V. A. Yakubovich</name></author><author><name sortKey="Khvedelidze, B V" sort="Khvedelidze, B V" uniqKey="Khvedelidze B" first="B. V." last="Khvedelidze">B. V. Khvedelidze</name></author><author><name sortKey="Matveev, S V" sort="Matveev, S V" uniqKey="Matveev S" first="S. V." last="Matveev">S. V. Matveev</name></author><author><name sortKey="Lizorkin, P I" sort="Lizorkin, P I" uniqKey="Lizorkin P" first="P. I." last="Lizorkin">P. I. Lizorkin</name></author><author><name sortKey="Shvedenko, S V" sort="Shvedenko, S V" uniqKey="Shvedenko S" first="S. V." last="Shvedenko">S. V. Shvedenko</name></author><author><name sortKey="Kudryavtsev, L D" sort="Kudryavtsev, L D" uniqKey="Kudryavtsev L" first="L. D." last="Kudryavtsev">L. D. Kudryavtsev</name></author><author><name sortKey="Bredikhin, B M" sort="Bredikhin, B M" uniqKey="Bredikhin B" first="B. M." last="Bredikhin">B. M. Bredikhin</name></author><author><name sortKey="Konyushkov, A A" sort="Konyushkov, A A" uniqKey="Konyushkov A" first="A. A." last="Konyushkov">A. A. Konyushkov</name></author><author><name sortKey="Brychkov, Yu A" sort="Brychkov, Yu A" uniqKey="Brychkov Y" first="Yu. A." last="Brychkov">Yu. A. Brychkov</name></author><author><name sortKey="Prudnikov, A P" sort="Prudnikov, A P" uniqKey="Prudnikov A" first="A. P." last="Prudnikov">A. P. Prudnikov</name></author><author><name sortKey="Nikishin, E M" sort="Nikishin, E M" uniqKey="Nikishin E" first="E. M." last="Nikishin">E. M. Nikishin</name></author><author><name sortKey="Gorin, E A" sort="Gorin, E A" uniqKey="Gorin E" first="E. A." last="Gorin">E. A. Gorin</name></author><author><name sortKey="Grebennikov, E A" sort="Grebennikov, E A" uniqKey="Grebennikov E" first="E. A." last="Grebennikov">E. A. Grebennikov</name></author><author><name sortKey="Ivanov, A B" sort="Ivanov, A B" uniqKey="Ivanov A" first="A. B." last="Ivanov">A. B. Ivanov</name></author><author><name sortKey="Onishchik, A L" sort="Onishchik, A L" uniqKey="Onishchik A" first="A. L." last="Onishchik">A. L. Onishchik</name></author><author><name sortKey="Tamrazov, P M" sort="Tamrazov, P M" uniqKey="Tamrazov P" first="P. M." last="Tamrazov">P. M. Tamrazov</name></author><author><name sortKey="Emel Anov, V F" sort="Emel Anov, V F" uniqKey="Emel Anov V" first="V. F." last="Emel Anov">V. F. Emel Anov</name></author><author><name sortKey="Barabanov, A I" sort="Barabanov, A I" uniqKey="Barabanov A" first="A. I." last="Barabanov">A. I. Barabanov</name></author><author><name sortKey="Rozanov, Yu A" sort="Rozanov, Yu A" uniqKey="Rozanov Y" first="Yu. A." last="Rozanov">Yu. A. Rozanov</name></author><author><name sortKey="Kamynin, L I" sort="Kamynin, L I" uniqKey="Kamynin L" first="L. I." last="Kamynin">L. I. Kamynin</name></author><author><name sortKey="Skvortsov, V A" sort="Skvortsov, V A" uniqKey="Skvortsov V" first="V. A." last="Skvortsov">V. A. Skvortsov</name></author><author><name sortKey="Chirka, E M" sort="Chirka, E M" uniqKey="Chirka E" first="E. M." last="Chirka">E. M. Chirka</name></author><author><name sortKey="Vinberg, E B" sort="Vinberg, E B" uniqKey="Vinberg E" first="E. B." last="Vinberg">E. B. Vinberg</name></author><author><name sortKey="Zarkhin, Yu G" sort="Zarkhin, Yu G" uniqKey="Zarkhin Y" first="Yu. G." last="Zarkhin">Yu. G. Zarkhin</name></author><author><name sortKey="Koshevnikova, I G" sort="Koshevnikova, I G" uniqKey="Koshevnikova I" first="I. G." last="Koshevnikova">I. G. Koshevnikova</name></author><author><name sortKey="Minlos, R A" sort="Minlos, R A" uniqKey="Minlos R" first="R. A." last="Minlos">R. A. Minlos</name></author><author><name sortKey="Vo Tsekhovski, M I" sort="Vo Tsekhovski, M I" uniqKey="Vo Tsekhovski M" first="M. I." last="Vo Tsekhovski">M. I. Vo Tsekhovski</name></author><author><name sortKey="El In, A G" sort="El In, A G" uniqKey="El In A" first="A. G." last="El In">A. G. El In</name></author><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></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="Semenov, E M" sort="Semenov, E M" uniqKey="Semenov E" first="E. M." last="Semenov">E. M. Semenov</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: A Hausdorff space which, under any topological imbedding into an arbitrary Hausdorff space Y, is a closed set in Y. The characteristic property of an H-closed space is that any open covering of the space contains a finite subfamily the closures of the elements of which cover the space. A regular H-closed space is compact. If every closed subspace of a space is H-closed, then the space itself is compact. A theory has been developed for H-closed extensions of Hausdorff spaces.</div></front></TEI><affiliations><list></list><tree><noCountry><name sortKey="Aleksandrov, I A" sort="Aleksandrov, I A" uniqKey="Aleksandrov I" first="I. A." last="Aleksandrov">I. A. Aleksandrov</name><name sortKey="Anosov, D V" sort="Anosov, D V" uniqKey="Anosov D" first="D. V." last="Anosov">D. V. Anosov</name><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><name sortKey="Barabanov, A I" sort="Barabanov, A I" uniqKey="Barabanov A" first="A. I." last="Barabanov">A. I. Barabanov</name><name sortKey="Bredikhin, B M" sort="Bredikhin, B M" uniqKey="Bredikhin B" first="B. M." last="Bredikhin">B. M. Bredikhin</name><name sortKey="Brychkov, Yu A" sort="Brychkov, Yu A" uniqKey="Brychkov Y" first="Yu. A." last="Brychkov">Yu. A. Brychkov</name><name sortKey="Chirka, E M" sort="Chirka, E M" uniqKey="Chirka E" first="E. M." last="Chirka">E. M. Chirka</name><name sortKey="Dolgachev, I V" sort="Dolgachev, I V" uniqKey="Dolgachev I" first="I. V." last="Dolgachev">I. V. Dolgachev</name><name sortKey="El In, A G" sort="El In, A G" uniqKey="El In A" first="A. G." last="El In">A. G. El In</name><name sortKey="Emel Anov, V F" sort="Emel Anov, V F" uniqKey="Emel Anov V" first="V. F." last="Emel Anov">V. F. Emel Anov</name><name sortKey="Golubov, B I" sort="Golubov, B I" uniqKey="Golubov B" first="B. I." last="Golubov">B. I. Golubov</name><name sortKey="Gorin, E A" sort="Gorin, E A" uniqKey="Gorin E" first="E. A." last="Gorin">E. A. 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G." last="Zarkhin">Yu. G. Zarkhin</name><name sortKey="Zhelobenko, D P" sort="Zhelobenko, D P" uniqKey="Zhelobenko D" first="D. P." last="Zhelobenko">D. P. Zhelobenko</name></noCountry></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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