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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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Multiplications in additive compactifications of N.
by
John Pym
University of Sheffield
Coauthors: Neil Hindman (Howard Unversity), Dona Strauss (University of Hull)

There are several well-known semigroup compactifications of (N, +), for example, the almost periodic, the weakly almost periodic, and the Stone-Cech compactification \betaN. N has a second natural operation, multiplication. This extends to \betaN and although the extended operation has little interaction with the extension of addition the combined structure has combinatorial implications. This talk considers how multiplication might be extended to other compactifications and looks at some properties of the extensions.

Date received: May 21, 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-72.