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Sections of Serre fibrations with 2-manifold fibers |
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| Authors: | N Brodsky A Chigogidze |
| Institution: | a University of Tennessee, Knoxville, TN 37996, USA b University of North Carolina at Greensboro, Greensboro, NC 27402, USA c Steklov Institute of Mathematics, Russian Academy of Sciences, Moscow 117966, Russia |
| 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. |
| Keywords: | primary 57N05 57N10 secondary 54C65 |
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