Extraordinary Dimension Theories Generated by Complexes

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: We study the extraordinary dimension function dimL introduced by ? S?cepin. An axiomatic characterization of this dimension function is obtained. We also introduce inductive dimensions indL and IndL and prove that for separable metrizable spaces all three coincide. Several results such as characterization of dimL in terms of partitions and in terms of mappings into n-dimensional cubes are presented. We also prove the converse of the Dranishnikov-Uspenskij theorem on dimension-raising maps.

Additional Information

arXiv:math/0301004v1 [math.GN] 1 Jan 2003
Language: English
Date: 2003
Extraprdinary dimension theory, Inductive dimensions, Smach product, Join

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