Local section of Serre fibrations with 3-manifold fibers

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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]. An extension of the Whitney's theorem to the case when all fibers are homeomorphic to some fixed compact two-dimensional manifold was proved by the authors \cite{BCS}. The main result of this paper proves the existence of local sections in a Serre fibration with all fibers homeomorphic to some fixed compact three-dimensional manifold.
Submitted to Topolofy and its Applications

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Geometric Topology, General Topology, 57N05, 57N10, 54C65

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http://salesiana.dossiersoluciones.com/handle/123456789/220684

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.3387
 http://arxiv.org/abs/0902.3387

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arXiv