Hurewicz theorem for Extension Dimension

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 )
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Abstract: We prove a new selection theorem for multivalued mappings of C-space. Using this theorem we prove extension dimensional version of Hurewicz theorem for a closed mapping f : X ? Y of k-space X onto paracompact C-space Y : if for finite CW-complex M we have e-dimY = [M] and for every point y ? Y and every compactum Z with e-dimZ = [M] we have e-dim(f-1(y) × Z) = [L] for some CW-complex L, then e-dimX = [L].

Additional Information

arXiv:math/0204319v1 [math.AT] 25 Apr 2002
Language: English
Date: 2002
Extension dimension, C-space, Continuous selection

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