Homeomorphisms of Compact Sets in Certain Hausdorff Spaces
Arthur D. Grainger
International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-11
Abstract:
We construct a class of Hausdorff spaces (compact and noncompact) with the property that nonempty compact subsets of these spaces that have the same cardinality are homeomorphic. Also, it is shown that these spaces contain compact subsets that are infinite.
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:493290
DOI: 10.1155/2011/493290
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