Vol. 40, No. 3, 1972

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On spaces with regular Gδ-diagonals

Phillip Lee Zenor

Vol. 40 (1972), No. 3, 759–763
Abstract

It is the purpose of this note to investigate spaces with regular Gδ-diagonals. Among other things, it is shown that if X is T1-space, then 1. X admits a development satisfying the 3-link property if and only if X is a ωΔ-space with a regular Gδ-diagonal and 2. X is metrizable if and only if X is an M-space with a regular Gδ-diagonal.

Mathematical Subject Classification 2000
Primary: 54E35
Milestones
Received: 8 February 1971
Revised: 25 March 1971
Published: 1 March 1972
Authors
Phillip Lee Zenor