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1999 Summer Conference on Topology and its Applications
August 4-7, 1999
C.W. Post Campus of Long Island University
Brookville, NY, USA

Organizers
Sheldon Rothman, Ralph Kopperman

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Metrizability of Manifolds by Diagonal Properties
by
A. M. Mohamad
Department of Mathematics, The University of Auckland

This talk investigates metrization theory of manifolds. We study diagonal properties in manifolds to arrive at developability and metrizability. We find that diagonal properties play an important role. For example, perfectly normal manifold whose diagonal satisfies a weakened G*\delta-condition is metrizable and a manifold whose diagonal satisfies a weakened regular-G\delta-condition is metrizable.

Date received: May 31, 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 # cacl-29.