Unicoherent compactifications

Michael Howard Clapp and Raymond Frank Dickman

Vol. 43 (1972), No. 1, 55–62

DOI: 10.2140/pjm.1972.43.55

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