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On almost locally connected spaces

Part of: Fairly general properties Maps and general types of spaces defined by maps

Published online by Cambridge University Press:  09 April 2009

Takashi Noiri
Takashi Noiri
Affiliation:
Department of Mathematics Yatsushiro College of TechnologyYatsushiro-shi, Kumamoto-ken 866, Japan
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Abstract

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In this paper it is shown that aimost local connectedness is hereditary for the subspace that is the union of regular open sets and is preserved under almost-open (in the sense of Singal) θ-continuous surjections.

MSC classification

Secondary: 54C10: Special maps on topological spaces (open, closed, perfect, etc.) 54D05: Connected and locally connected spaces (general aspects)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 2 , April 1983 , pp. 258 - 264
Copyright
Copyright © Australian Mathematical Society 1983

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