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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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One-point compactifications of ditopological spaces
by
Murat Diker
Hacettepe University, Department of Mathematics, 06532 Beytepe Ankara Turkey

A one-point compactification of a ditopological texture space is defined and a concept of local compactness introduced in a natural way and shown to be additive in the class of ditopological texture spaces. The special case of bitopological spaces is considered and an application to fuzzy topological lattices is also given. Here a compact extension of a topological fuzzy lattice is obtained and a notion of local compactness is defined and shown to be productive in the class of fuzzy topological spaces.

Date received: February 28, 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-07.