Symmetrizable-closed spaces

Robert Moffatt Stephenson Jr.

Vol. 68 (1977), No. 2, 507–514

DOI: 10.2140/pjm.1977.68.507

Abstract

Symmetrizable-closed, semimetrizable-closed, minimal symmetrizable, and minimal semimetrizable spaces are characterized. G. M. Reed’s theorem that every Moore-closed space is separable is extended to: Every Baire, semimetrizable-closed space is separable. Several examples are given.

Mathematical Subject Classification 2000

Primary: 54E25

Secondary: 54D25

Milestones

Received: 6 December 1976

Published: 1 February 1977