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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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Arhangel'skii's solution to Alexandroff's problem: a survey
by
Richard Hodel
Duke University

In 1969 Arhangel'skii solved an almost 50-year old problem published by Alexandroff and Urysohn in 1923 by proving the every Hausdorff first-countable Lindelof space has cardinality at most the continuum. In fact he proved that the cardinality of X (X Hausdorff) cannot be greater than exp(L(X)k(X)). In my talk I will survey a wide variety of generalizations and variations of this beautiful inequality.

Date received: June 2, 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-42.