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Compactifications of Semigroups and Semigroup Actions
by
Michael Megrelishvili
Bar-Ilan University, Israel
An action of a topological semigroup S on a topological space X is compactifiable if this action is a restriction of a jointly continuous action of S on a Hausdorff compact space Y. A topological semigroup S is compactifiable if the left action of S on itself is compactifiable, or equivalently, if it admits a right topological monoidal compactification which is an embedding. We discuss some old and new results about compactifiability of (semi)group actions and also right topological semigroup compactifications of semigroups.
Date received: June 12, 2006
Copyright © 2006 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 # carh-84.