Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660968 | Topology and its Applications | 2008 | 10 Pages |
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's theorem to the case when all fibers are homeomorphic to a given compact two-dimensional manifold.
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Mathematics
Geometry and Topology