A remark on Θ-regular spaces
In this paper we give an embedding characterization of θ-regularity using the Wallman-type compactlfication. The productivity of θ-regularity and a slight generalization of Nagami's Product Theorem to non-Hausdorff paracompact ∑-spaces we obtain as a corollary.
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000271 |
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| _version_ | 1849415486263001088 |
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| author | Martin M. Kovár |
| author_facet | Martin M. Kovár |
| author_sort | Martin M. Kovár |
| collection | DOAJ |
| description | In this paper we give an embedding characterization of θ-regularity using the
Wallman-type compactlfication. The productivity of θ-regularity and a slight generalization of
Nagami's Product Theorem to non-Hausdorff paracompact ∑-spaces we obtain as a corollary. |
| format | Article |
| id | doaj-art-68d187c77e4b4b46967912e577ac4230 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-68d187c77e4b4b46967912e577ac42302025-08-20T03:33:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121119920010.1155/S0161171298000271A remark on Θ-regular spacesMartin M. Kovár0Department of Mathematics, Faculty of Electrical Engineering and Computer Science, Technical University of Brno, Technická 8, Brno 616 00, Czech RepublicIn this paper we give an embedding characterization of θ-regularity using the Wallman-type compactlfication. The productivity of θ-regularity and a slight generalization of Nagami's Product Theorem to non-Hausdorff paracompact ∑-spaces we obtain as a corollary.http://dx.doi.org/10.1155/S0161171298000271θ-regularity. Wallman-type compactificationparacompact ∑-space. |
| spellingShingle | Martin M. Kovár A remark on Θ-regular spaces International Journal of Mathematics and Mathematical Sciences θ-regularity. Wallman-type compactification paracompact ∑-space. |
| title | A remark on Θ-regular spaces |
| title_full | A remark on Θ-regular spaces |
| title_fullStr | A remark on Θ-regular spaces |
| title_full_unstemmed | A remark on Θ-regular spaces |
| title_short | A remark on Θ-regular spaces |
| title_sort | remark on θ regular spaces |
| topic | θ-regularity. Wallman-type compactification paracompact ∑-space. |
| url | http://dx.doi.org/10.1155/S0161171298000271 |
| work_keys_str_mv | AT martinmkovar aremarkonthregularspaces AT martinmkovar remarkonthregularspaces |