On Homotopic Equivalence of Fibering into Tori and Total Space. Case of Nonempty Boundary
We present a criterion that indicates the case where a smooth compact 4-manifold with irreducible boundary is homotopically equivalent to the total space of a fibering into two-dimensional closed aspherical surfaces over a two-dimensional aspherical surface with boundary.
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| Datum: | 2002 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4059 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510187989762048 |
|---|---|
| author | Mozgova, A. A. Мозгова, А. А. Мозгова, А. А. |
| author_facet | Mozgova, A. A. Мозгова, А. А. Мозгова, А. А. |
| author_sort | Mozgova, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:20:24Z |
| description | We present a criterion that indicates the case where a smooth compact 4-manifold with irreducible boundary is homotopically equivalent to the total space of a fibering into two-dimensional closed aspherical surfaces over a two-dimensional aspherical surface with boundary. |
| first_indexed | 2026-03-24T02:53:01Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4059 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:53:01Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/67/3e73ae142083d8824eb13258aa72cd67.pdf |
| spelling | umjimathkievua-article-40592020-03-18T20:20:24Z On Homotopic Equivalence of Fibering into Tori and Total Space. Case of Nonempty Boundary О гомотопической эквивалентности тотальному пространству расслоения на торы. Случай с непустым краем Mozgova, A. A. Мозгова, А. А. Мозгова, А. А. We present a criterion that indicates the case where a smooth compact 4-manifold with irreducible boundary is homotopically equivalent to the total space of a fibering into two-dimensional closed aspherical surfaces over a two-dimensional aspherical surface with boundary. Наведено критерій, що визначає коли гладкий компактний чотиривимірний многовид з незвідним краєм гомотопічно еквівалентний тотальному простору розшарування на двовимірні замкнені асфернчні поверхні над двовимірною ас4>еричною поверхнею з краєм. Institute of Mathematics, NAS of Ukraine 2002-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4059 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 2 (2002); 237-248 Український математичний журнал; Том 54 № 2 (2002); 237-248 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4059/4828 https://umj.imath.kiev.ua/index.php/umj/article/view/4059/4829 Copyright (c) 2002 Mozgova A. A. |
| spellingShingle | Mozgova, A. A. Мозгова, А. А. Мозгова, А. А. On Homotopic Equivalence of Fibering into Tori and Total Space. Case of Nonempty Boundary |
| title | On Homotopic Equivalence of Fibering into Tori and Total Space. Case of Nonempty Boundary |
| title_alt | О гомотопической эквивалентности тотальному пространству расслоения на торы. Случай с непустым краем |
| title_full | On Homotopic Equivalence of Fibering into Tori and Total Space. Case of Nonempty Boundary |
| title_fullStr | On Homotopic Equivalence of Fibering into Tori and Total Space. Case of Nonempty Boundary |
| title_full_unstemmed | On Homotopic Equivalence of Fibering into Tori and Total Space. Case of Nonempty Boundary |
| title_short | On Homotopic Equivalence of Fibering into Tori and Total Space. Case of Nonempty Boundary |
| title_sort | on homotopic equivalence of fibering into tori and total space. case of nonempty boundary |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4059 |
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