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Classification of metrization theorems
by
Richard E. Hodel
Duke University
We use separation axioms and infinite cardinals to classify a variety of metrization theorems. Of special interest is a characterization of the uniform weight u(X) of a space in terms of a condition much like the Frink Metrization Theorem. Nagata's Double Sequence Theorem and the Alexandroff-Urysohn Theorem also play an important role in the classification scheme.
Date received: February 23, 1996
Copyright © 1996 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 # caab-89.