Document Type

Marquette Only

Publication Date

10-2008

Source Publication

Topology Proceedings

Abstract

We show that a compactum is locally connected if and only if every semimonotone mapping onto it is also monotone. If we put open in place of monotone, we obtain the finite compacta; if we put in confluent, we obtain a large class of compacta, the connected members of which are connected im kleinen at each of their cut points.

Comments

Originally published in Topology Proceedings, Volume 34, October 2008, pages 39-45. Published online by Topology Proceedings February 19, 2009