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)
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.

Additional Information

arXiv:math/0103061v2 [math.GN] 22 Sep 2001
Language: English
Date: 2001
Approximation, Extension dimension, Property C