Extension Dimensional Approximation Theorem
- 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 is known that if an upper semicontinuous multivalued mapping F : X ? Y , defined on an n-dimensional compactum X, has UV n-1-point images, then every neighbourhood of the graph of F (in the product X×Y ) contains the graph of a single-valued continuous mapping f : X ? Y .
Similar result is known to be true when X is a compact C-space and images of F have trivial shape. We extend and unify both of these results in terms of extension theory.
Extension Dimensional Approximation Theorem
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Created on 1/1/2001
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Additional Information
- Publication
- arXiv:math/0103061v2 [math.GN] 22 Sep 2001
- Language: English
- Date: 2001
- Keywords
- Approximation, Extension dimension, Property C