Vol. 43, No. 1, 1972

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ISSN: 0030-8730
Unicoherent compactifications

Michael Howard Clapp and Raymond Frank Dickman

Vol. 43 (1972), No. 1, 55–62
Abstract

In this paper we give necessary and sufficient conditions for the Freudenthal compactification of a rimcompact, locally connected and connected Hausdorff space to be unicoherent. We give several necessary and sufficient conditions for a locally connected generalized continuum to have a unicoherent compactification and show that if such a space X has a unicoherent compactification, then γX is the smallest unicoherent compactification of X in the usual ordering of compactifications.

Mathematical Subject Classification 2000
Primary: 54D35
Secondary: 54F55
Milestones
Received: 27 April 1971
Published: 1 October 1972
Authors
Michael Howard Clapp
Raymond Frank Dickman