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On Some Open Problems Related to the Metrizability Number of Spaces
by
Mohammad Ismail
Slippery Rock University
Coauthors: Andrzej Szymanski
The 'metrizability number'([1, 2]) of a topological space X, denoted by by m(X), is defined as the smallest cardinal number k such that X can be be represented as a union of k metrizable subspaces. The 'first countability number' of X, denoted by fc(X), is defined analogously. In this talk we discuss several open problems related to the metrizability number and the first countability number of compact Hausdorff spaces. [1] M. Ismail, A. Szymanski, On the metrizability number and related invariants of spaces, Topology Appl. 63(1995)69-77. [2] M. Ismail, A. Szymanski, On the metrizability number and related invariants of spaces II, Topology Appl. 71(1996)179-191.
Date received: January 13, 1998
Copyright © 1998 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 # caas-07.