Local sections of Serre fibrations with 2-manifold fibers

Details Local sections of Serre fibrations with 2-manifold fibers Local sections of Serre fibrations with 2-manifold fibers

2009-02-19

arxiv.org/abs/0902.3312v1

Topology and its Applications, 155 (2008), 773-782

Mathematics

Geometric Topology

Scientific paper

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.

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