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Expansion and dimension

Published online by Cambridge University Press:  09 April 2009

Vincent J. Mancuso
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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If (X, τ) is a topological space, is a family of subsets of X, then the expansion of τ by is the topology τ() on X having τ ∪ as a subbase. If (X, τ) has property , when does (X, τ()) have property ? In this paper we answer this question for the property of dimension. We apply our techniques to first countability and related properties.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 22 , Issue 3 , November 1976 , pp. 313 - 320
Copyright
Copyright © Australian Mathematical Society 1976

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