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Semigroups and Effros Spaces
by
Kathryn Porter
Saint Mary's College of California
Let (X, T) be a topological space and let F be a collection of surjective functions defined on X onto X. Give F a topology T*. We say that (X, T) is Effros with respect to (F, T*) provided that for all x in X the evaluation map Ex: (F, T*) --> (X, T), defined by Ex(f)=f(x), is open. In this case, we also say that (X, T) is an Effros space (w.r.t. (F, T*). We look at some results for the case that F is a semigroup.
Date received: February 12, 2000
Copyright © 2000 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 # cady-48.