Two theorems on metrizability of Moore spaces

Ben Fitzpatrick, Jr. and Donald Reginald Traylor

Vol. 19 (1966), No. 2, 259–264

DOI: 10.2140/pjm.1966.19.259

Abstract

One of the outstanding questions in point set topology is whether each normal Moore space is metrizable. The primary result of this paper is to reduce that question to the problem of deciding whether each normal Moore space is locally metrizable at some point. Also, the question of metrizability for normal, separable spaces is reduced to that for normal, separable, locally compact spaces.

Mathematical Subject Classification

Primary: 54.38

Secondary: 54.35

Milestones

Received: 27 April 1963

Revised: 15 June 1964

Published: 1 November 1966