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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)

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The Variety Generated by the Free Abelian Topological Group on [0, 1].
by
Carolyn McPhail
University of Wollongong, Australia

A variety of topological groups is a class of topological groups closed under the operations of forming subgroups, quotient groups and arbitrary products. The variety generated by a class of topological groups is the smallest variety containing the class.

In this talk we will discuss the sizes of a number of naturally occurring varieties of topological groups. In particular, we will give a description of the variety generated by the free abelian topological group on [0, 1], and a discussion on how this description is obtained.

Date received: May 22, 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-76.