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International Conference on Topology and its Applications
August 23-27, 1999
Kanagawa University
Yokohama, Japan

Organizers
Yukinobu Yajima, the chairman, Masami Sakai, the vice-chairman, Yoshihiro Abe, Kazuhiro Sakai, Toshiji Terada, Kenichi Tamano, Akio Kato, Takao Hoshina, Hisao Kato, Kazuhiro Kawamura, Akira Koyama, Tsugunori Nogura

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Shrinkings of open neighbourhoods and a topological description of metizability
by
Henry Hung
Concordia University, Canada

A purely topological description of metrizability should be as removed as possible from notions of size and the like. In the quest for such, we define weak subproperties of stratifiable spaces, beta-, gamma-, and theta-spaces in terms of shrinkings of open neighbourhoods rather than g-functions. Our result strengthens the celebrated theorem of Hodel. Dugundji Extension Property is similarly accounted for.

Date received: May 14, 1999

Copyright © 1999 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 # caby-07.