Topological Semigroups and Universal Spaces Related to Extension Dimenion
- 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 proved that there is no structure of left (right) cancelative semigroup on [L]-dimensional universal space for the class of separable compact
spaces of extensional dimension [L]. Besides, we note that the homeomorphism group of [L]-dimensional space whose nonempty open sets are universal for the class of separable compact spaces of extensional dimension [L] is
totally disconnected.
Topological Semigroups and Universal Spaces Related to Extension Dimenion
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Created on 1/1/2001
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Additional Information
- Publication
- arXiv:math/0109106v1 [math.GN] 17 Sep 2001
- Language: English
- Date: 2001
- Keywords
- Extension dimension, Universal space, Semigroup