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RESOLVABILITY PROPERTIES OF SIMILAR TOPOLOGIES
Published online by Cambridge University Press: 03 September 2015
Abstract
We demonstrate that many properties of topological spaces connected with the notion of resolvability are preserved by the relation of similarity between topologies. Moreover, many of them can be characterised by the properties of the algebra of sets with nowhere dense boundary and the ideal of nowhere dense sets. We use these results to investigate whether a given pair of an algebra and an ideal is topological.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 92 , Issue 3 , December 2015 , pp. 470 - 477
- Copyright
- © 2015 Australian Mathematical Publishing Association Inc.
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