Vol. 68, No. 2, 1977

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Symmetrizable-closed spaces

Robert Moffatt Stephenson Jr.

Vol. 68 (1977), No. 2, 507–514
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
Authors
Robert Moffatt Stephenson Jr.