The compactificability classes of certain spaces
We apply the theory of the mutual compactificability to some spaces, mostly derived from the real line. For example, any noncompact locally connected metrizable generalized continuum, the Tichonov cube without its zero point Iℵ0\{0}, as well as the Cantor discontinuum without its zero point Dℵ0\{0}...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/67083 |
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| _version_ | 1832545355136237568 |
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| author | Martin Maria Kovár |
| author_facet | Martin Maria Kovár |
| author_sort | Martin Maria Kovár |
| collection | DOAJ |
| description | We apply the theory of the mutual compactificability to some
spaces, mostly derived from the real line. For example, any
noncompact locally connected metrizable generalized continuum, the
Tichonov cube without its zero point Iℵ0\{0}, as well as the Cantor discontinuum without its zero point Dℵ0\{0} are of the same class of mutual compactificability as ℝ. |
| format | Article |
| id | doaj-art-2070aa2e52f7482aa24047ed42980d30 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2070aa2e52f7482aa24047ed42980d302025-02-03T07:25:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/6708367083The compactificability classes of certain spacesMartin Maria Kovár0Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, Brno 616 69, Czech RepublicWe apply the theory of the mutual compactificability to some spaces, mostly derived from the real line. For example, any noncompact locally connected metrizable generalized continuum, the Tichonov cube without its zero point Iℵ0\{0}, as well as the Cantor discontinuum without its zero point Dℵ0\{0} are of the same class of mutual compactificability as ℝ.http://dx.doi.org/10.1155/IJMMS/2006/67083 |
| spellingShingle | Martin Maria Kovár The compactificability classes of certain spaces International Journal of Mathematics and Mathematical Sciences |
| title | The compactificability classes of certain spaces |
| title_full | The compactificability classes of certain spaces |
| title_fullStr | The compactificability classes of certain spaces |
| title_full_unstemmed | The compactificability classes of certain spaces |
| title_short | The compactificability classes of certain spaces |
| title_sort | compactificability classes of certain spaces |
| url | http://dx.doi.org/10.1155/IJMMS/2006/67083 |
| work_keys_str_mv | AT martinmariakovar thecompactificabilityclassesofcertainspaces AT martinmariakovar compactificabilityclassesofcertainspaces |