Vol. 27, No. 1, 1968

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A co-topological application to minimal spaces

Giovanni Viglino

Vol. 27 (1968), No. 1, 197–200
Abstract

A space (X,τ) which satisfies a topological property P is said to be minimal-P if T = {ττ is a P-topology on X;ττ} = . For example, a Hausdorff space (X,τ) is minimal Hausdorff if there exists no Hausdorff topology on X which is strictly weaker than τ. The purpose of this paper is to show that for certain properties one need only consider a subset of T “induced” by τ to determine if (X,τ) is minimal-P.

Mathematical Subject Classification
Primary: 54.20
Milestones
Received: 23 August 1967
Revised: 20 October 1967
Published: 1 October 1968
Authors
Giovanni Viglino