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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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Recent Results on Bohr Topologies
by
Kenneth Kunen
University of Wisconsin

If G is an abstract (discrete) structure, bG denotes the Bohr (or, maximal) compactification of G, and G# denotes G with the topology induced by this compactification. These notions were defined for groups by Weil (1940) and for arbitrary structures by Holm (1964). The general theory is closely related to Cp theory.

In the case where G is an abelian group, there is much known about the set-theoretic properties of G#, due to Van Douwen (1990) and others. For arbitrary structures, there are a few basic theorems, along with counter-examples to most reasonable conjectures. There are still many open questions about specific classes of structures, such as semilattices and non-abelian groups.

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-50.