Sections of Serre Fibrations with Low-Dimensional Fibers
- UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
- A. "Alex" Chigogidze, Professor and Department Chair (Creator)
- Institution
- The University of North Carolina at Greensboro (UNCG )
- Web Site: http://library.uncg.edu/
Abstract: It was proved by H. Whitney in 1933 that it is possible to mark a point in all curves in a continuous way. The main result of this paper
extends the Whitney theorem to dimensions 2 and 3. Namely, we prove that it is possible to choose a point continuously in all two-dimensional surfaces
sufficiently close to a given surface, and in all 3-manifolds sufficiently close to a given 3-manifold.
Sections of Serre Fibrations with Low-Dimensional Fibers
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Created on 1/1/2002
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Additional Information
- Publication
- arXiv:math/0208192v1 [math.GT] 24 Aug 2002
- Language: English
- Date: 2002
- Keywords
- Serre fibration, Section, Selection, Approximation