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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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A new structure theorem for compact groups
by
Sidney Morris
University of South Australia
Coauthors: Karl H. Hofmann, Darmstadt University of Technology

This talk reports on recent joint work with Karl Hofmann. It is well-known that every compact group is a projective limit of compact Lie groups. However, there is no way to represent a non-metrizable compact group, G, as a projective limit of a countable projective system of Lie groups. However, as a corollary of our main result we are able to identify a characteristic subgroup, N, of G, such that the quotient group G/N is indeed a countable projective limit of specified groups.

Date received: July 6, 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 # cahy-08.