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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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Connections between C(X) and C(Y), where Y is a subspace of X
by
A. R. Aliabady
Chamran University, Ahvaz, Iran

Kohls [1] considered some connections between C(X) and C(Y), where Y = X\{x} and x is a nonisolated G_delta point in X. Our aim in this talk is the extension of this consideration by taking Y as a cozero-set (or a z-embedded set) in X and we will obtain some important connections between C(X) and C(Y). Finally, we talk about FMP-points, which are introduced by M. Henriksen and R. G. Wilson [2].

References

[1] C. W. Kohls, Prime ideals in rings of continuous functions, II, Duke Math. J. Vol. 25 (1958), 447-458.

[2] M. Henriksen and R. G. Wilson, Almost discrete SV-spaces, Topology and its Applications, 46 (1992), 89-97.

Date received: June 12, 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-22.