Conditions under which a connected representable space is locally connected

Peter Fletcher and Robert Allen McCoy

Vol. 51 (1974), No. 2, 433–437

DOI: 10.2140/pjm.1974.51.433

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