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On cleavabiliy of compacta over LOTS
by
Raushan Buzyakova
Brooklyn College, CUNY
A space X is cleavable over a space Y if for any subset A of X there exists a continous mapping f of X to Y such that f(A) \cap f(X\A) = \emptyset. (definition due to Arhangelskii)
We will discuss cleavability of compacta over Linearly Ordered Topological Spaces. We will show that under some conditions cleavability of compacta C over a LOTS L implies that C is homeomorphic to a subset of L. Some new open questions will be raised and old ones reminded.
Date received: February 23, 2003
Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajz-46.