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Expansion and dimension
Published online by Cambridge University Press: 09 April 2009
Abstract
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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