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Almost locally connected spaces

Published online by Cambridge University Press:  09 April 2009

Vincent J. Mancuso
Affiliation:
Department of Mathematics, St. John's University, Jamaica, New York 11439, U.S.A.
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Abstract

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This paper introduces the concept of an almost locally connected space. Every locally connected space is almost locally connected, and the concepts are equivalent in the class of semi-regular spaces. Almost local connectedness is hereditary for regular open subspaces, is preserved by continuous open maps, but not generally by quotient maps. It is productive in the presence of almost-regularity.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1981

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