Vol. 51, No. 2, 1974

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ISSN: 0030-8730
Conditions under which a connected representable space is locally connected

Peter Fletcher and Robert Allen McCoy

Vol. 51 (1974), No. 2, 433–437
Abstract

In this paper it is shown that every strongly locally homogeneous Hausdorff continuum is locally connected. It is known that every connected representable space is homogeneous and that every locally connected representable space is strongly locally homogeneous; this paper investigates the problem of whether or not every connected representable space is locally connected.

Mathematical Subject Classification 2000
Primary: 54F99
Milestones
Received: 1 February 1973
Published: 1 April 1974
Authors
Peter Fletcher
Robert Allen McCoy