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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Bibliographic Details
Date:2002
Main Authors: Mozgova, A. A., Мозгова, А. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2002
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4059
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal