Vol. 37, No. 3, 1971

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Stratifiable spaces, semi-stratifiable spaces, and their relation through mappings

David Michael Henry

Vol. 37 (1971), No. 3, 697–700
Abstract

It is shown that the image of a stratifiable space under a pseudo-open compact mapping is semi-stratifiable. By strengthening the mapping from compact to finite-to-one the following results are also obtained. The image of a semistratifiable (semi-metric) space under an open finite-to-one mapping is semi-stratifiable (semi-metric).

Mathematical Subject Classification 2000
Primary: 54E20
Milestones
Received: 26 August 1970
Revised: 2 November 1970
Published: 1 June 1971
Authors
David Michael Henry