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Conference in Honor of Alexander Arhangelskii
June 29 - July 3, 2003
Brooklyn College of the City University of New York
Brooklyn, NY, USA

Organizers
Raushan Buzyakova, Ralph Kopperman, Gerald Itzkowitz, Raymond Gittings, Susan Andima, Oleg Pavlov, Oleg Okunev, Dennis Burke, Vladimir Uspenskii, Witold Marciszewski, Stephen Watson, Hans-Peter Kunzi

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Central sets in semigroups
by
Neil Hindman
Howard University

Central subsets of the natural numbers were introduced by Furstenberg by way of a very complicated and esoteric definition in terms of topological dynamics, a definition which makes sense in any semigroup S. There is a much simpler (but still esoteric) characterization in terms of the algebra of the Stone-Cech compactification of the discrete semigroup S. These sets have remarkably strong combinatorical properties. We shall discuss some recent discoveries regarding the combinatorical properties of central sets and the topological-algebraic foundations of these discoveries.

Date received: April 19, 2003

Copyright © 2003 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 Mathematical Conference Abstracts. Document # cajv-10.