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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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Metrizability of Generalizations of M-Spaces
by
Abdul Mohamad
The University of Auckland

A very important class of generalized metric spaces is the class of M-spaces (in the sense of Morita). This class of spaces has played a major role in the theory of generalized metric spaces. This class has also played an important role as a ``factor'' in many metrization theorems. An M-space is a quasi-perfect preimage of a metric space.

The purposes of this talk is to study the behaviour of some generalizations of M-spaces. We investigate conditions on these generalizations which imply metrizability. We find that diagonal properties play an important role.

Date received: July 16, 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-34.