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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.

Additional Information

Publication
arXiv:math/0109106v1 [math.GN] 17 Sep 2001
Language: English
Date: 2001
Keywords
Extension dimension, Universal space, Semigroup