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International Conference on Applicable General Topology
August 12-18, 2001
Hacettepe University
Ankara, Turkey

Organizers
L. M. Brown (Ankara), G. Brümmer (Cape Town), M. Diker (Ankara), M. Henriksen (Claremont), R. D. Kopperman (New York), G. M. Reed (Oxford), I. L. Reilly (Auckland), S. Salbany (Pretoria), D. Spreen (Siegen)

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Algebraic characterizations of some cardinal functions
by
F. Azarpanah
Chamran University, Ahvaz, Iran
Coauthors: M. Namdari

Algebraic definitions of some cardinal functions on Tychonoff spaces, such as weight, character, celularity, caliber and Sanin number are given. It is shown that the celularity, caliber, Sanin number and second countability of a Tychonoff space are invariant under ring isomorphisms. It is also easy to see that the celularity of X is equal to the celularity of the structure space of minimal prime ideals of C(X). If G is an open set in X, we show that O_G consisting of all f in C(X) such that Z(f) contains G is an algebraic object and using these ideals, it is easy to see that if X is discrete and C(X) and C(Y) are isomorphic, then Y contains a dense copy of X.

Date received: June 6, 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 # cagx-14.