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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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The Topology of Compact Groups
by
Sidney A. Morris
University of Ballarat, Australia

The topological group structure of connected compact groups is described in detail in the 835 page book ``The Structure of Compact Groups: A Primer for the Student - A Handbook for the Expert'' by Karl Heinrich Hofmann and Sidney A. Morris, de Gruyter Studies in Mathematics, Volume 25, 1998, ISBN 3-11-015268-1. For totally disconnected compact groups, that is, profinite groups, the structure is described in two books both titled ``Profinite Groups'' by J.S. Wilson, published in 1998 by Clarendon Press, Oxford and by L. Ribes published in 2000 by Springer-Verlag, Berlin etc., Ergebnisse 3, Folge 40. The purpose of this talk is to use the known topological group structure theory to describe to general topologists the topology of compact groups.

Date received: June 2, 2002

Copyright © 2002 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 # cait-31.