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.
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/493290 |
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| _version_ | 1832563988647378944 |
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| author | Arthur D. Grainger |
| author_facet | Arthur D. Grainger |
| author_sort | Arthur D. Grainger |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5ed4135ee884465ebcd96c62450153ee |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5ed4135ee884465ebcd96c62450153ee2025-02-03T01:12:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/493290493290Homeomorphisms of Compact Sets in Certain Hausdorff SpacesArthur D. Grainger0Department of Mathematics, Carnegie Hall, Room CR-152, Morgan State University, Cold Spring Lane and Hillen Road, Baltimore, MD 21239, USAWe 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.http://dx.doi.org/10.1155/2011/493290 |
| spellingShingle | Arthur D. Grainger Homeomorphisms of Compact Sets in Certain Hausdorff Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Homeomorphisms of Compact Sets in Certain Hausdorff Spaces |
| title_full | Homeomorphisms of Compact Sets in Certain Hausdorff Spaces |
| title_fullStr | Homeomorphisms of Compact Sets in Certain Hausdorff Spaces |
| title_full_unstemmed | Homeomorphisms of Compact Sets in Certain Hausdorff Spaces |
| title_short | Homeomorphisms of Compact Sets in Certain Hausdorff Spaces |
| title_sort | homeomorphisms of compact sets in certain hausdorff spaces |
| url | http://dx.doi.org/10.1155/2011/493290 |
| work_keys_str_mv | AT arthurdgrainger homeomorphismsofcompactsetsincertainhausdorffspaces |