Homeomorphisms of Compact Sets in Certain Hausdorff Spaces

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.

Bibliographic Details
Main Author: Arthur D. Grainger
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/493290