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)
- Institution
- 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.
Extraordinary Dimension Theories Generated by Complexes
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Created on 1/1/2003
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Additional Information
- Publication
- arXiv:math/0301004v1 [math.GN] 1 Jan 2003
- Language: English
- Date: 2003
- Keywords
- Extraprdinary dimension theory, Inductive dimensions, Smach product, Join