Atlas home || Conferences | Abstracts | about Atlas

SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

View Abstracts
Conference Homepage

Suitable sets in semigroups
by
Desmond Robbie
University of Melbourne
Coauthors: Jian He (University of Melbourne), Sally Miller (University of Melbourne)

The concept of a suitable set S in a Hausdorff topological group G as introduced by Hofmann and Morris is extended to topological semigroups as follows below. It should be noted that for compact groups the extended definition is equivalent to the original one.

Let E denote the set of idempotents of a semigroup. S is a suitable set for the topological semigroup T if S is relatively discrete, S \cup E is topologically closed in T and the semigroup algebraically generated by S \cup E is dense in T. (We note that S could be empty.)

A number of conditions under which compact semigroups T in which T2 = T have suitable sets are established and some examples are given.

Date received: May 15, 2001

Copyright © 2001 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 # cagw-38.