Sections of Serre fibrations with 2-manifold fibers

DOI10.1016/J.TOPOL.2006.09.019zbMATH Open1157.55013arXiv0902.3312OpenAlexW2050655454MaRDI QIDQ924266

Alex Chigogidze, N. Brodskiy, Evgeny V. Shchepin

Publication date: 15 May 2008

Published in: (Search for Journal in Brave)

Abstract: It was proved by H. Whitney in 1933 that a Serre fibration of compact metric spaces admits a global section provided every fiber is homeomorphic to the unit interval [0,1]. Results of this paper extend Whitney theorem to the case when all fibers are homeomorphic to a given compact two-dimensional manifold.

Full work available at URL: https://arxiv.org/abs/0902.3312

zbMATH Keywords

manifoldselectionCW-complexsectionmultivalued mapSerre fibration

Mathematics Subject Classification ID

Selections in general topology (54C65) Fiber spaces and bundles in algebraic topology (55R99)

Related Items (2)

On orthogonal projections of Nöbeling spaces ⋮ Local sections of Serre fibrations with 3-manifold fibers

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