On 3-topological version of θ-regularity
We modify the concept of θ-regularity for spaces with 2 and 3 topologies. The new, more general property is fully preserved by sums and products. Using some bitopological reductions of this property, Michael's theorem for several variants of bitopological paracompactness is proved.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001678 |
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| _version_ | 1832554925344686080 |
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| author | Martin M. Kovár |
| author_facet | Martin M. Kovár |
| author_sort | Martin M. Kovár |
| collection | DOAJ |
| description | We modify the concept of θ-regularity for
spaces with 2 and 3 topologies. The new, more general property is
fully preserved by sums and products. Using some bitopological
reductions of this property, Michael's theorem for several variants
of bitopological paracompactness is proved. |
| format | Article |
| id | doaj-art-d3a944473df449219b4c38894c41ac3f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d3a944473df449219b4c38894c41ac3f2025-02-03T05:50:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123639339810.1155/S0161171200001678On 3-topological version of θ-regularityMartin M. Kovár0Department of Mathematics, Faculty of Electrical Engineering and Computer Science, Technical University of Brno, Technická 8, Brno 616 69, Czech RepublicWe modify the concept of θ-regularity for spaces with 2 and 3 topologies. The new, more general property is fully preserved by sums and products. Using some bitopological reductions of this property, Michael's theorem for several variants of bitopological paracompactness is proved.http://dx.doi.org/10.1155/S0161171200001678Spaces with 2 and 3 topologiesθ-regularityparacompactness. |
| spellingShingle | Martin M. Kovár On 3-topological version of θ-regularity International Journal of Mathematics and Mathematical Sciences Spaces with 2 and 3 topologies θ-regularity paracompactness. |
| title | On 3-topological version of θ-regularity |
| title_full | On 3-topological version of θ-regularity |
| title_fullStr | On 3-topological version of θ-regularity |
| title_full_unstemmed | On 3-topological version of θ-regularity |
| title_short | On 3-topological version of θ-regularity |
| title_sort | on 3 topological version of θ regularity |
| topic | Spaces with 2 and 3 topologies θ-regularity paracompactness. |
| url | http://dx.doi.org/10.1155/S0161171200001678 |
| work_keys_str_mv | AT martinmkovar on3topologicalversionofthregularity |