Another closure operator on preneighbourhood spaces
The notions of dense, proper, separated or perfect morphisms and hence of compact, Hausdorff or compact Hausdorff are all consequent to good properties of a family of closed morphisms is well known in literature. Deeper consequences like the Tychonoff product theorem or the Stone Čech compactificati...
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| Format: | Article |
| Language: | English |
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Shahid Beheshti University
2025-01-01
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| Series: | Categories and General Algebraic Structures with Applications |
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| Online Access: | https://cgasa.sbu.ac.ir/article_104597_10f1c49f276629154fa9a3682335c2cd.pdf |
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| author | Partha Ghosh |
| author_facet | Partha Ghosh |
| author_sort | Partha Ghosh |
| collection | DOAJ |
| description | The notions of dense, proper, separated or perfect morphisms and hence of compact, Hausdorff or compact Hausdorff are all consequent to good properties of a family of closed morphisms is well known in literature. Deeper consequences like the Tychonoff product theorem or the Stone Čech compactifications follow from richer properties of the set of closed morphisms. The purpose of this paper is to provide a closure operation on a preneighbourhood space so that the resulting set of closed morphisms possess all the properties mentioned above. |
| format | Article |
| id | doaj-art-cd72e1bb8678481a8da8ad79caefb3b5 |
| institution | Kabale University |
| issn | 2345-5853 2345-5861 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Shahid Beheshti University |
| record_format | Article |
| series | Categories and General Algebraic Structures with Applications |
| spelling | doaj-art-cd72e1bb8678481a8da8ad79caefb3b52025-01-24T18:43:40ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612025-01-01221599210.48308/cgasa.2024.235195.1478104597Another closure operator on preneighbourhood spacesPartha Ghosh0Department of Mathematical Sciences, University of South Africa, Unisa Science Campus, corner of Christiaan de Wet & Pioneer Avenue, Florida 1709, Johannesburg, Gauteng, South Africa.\\ National Institute for Theoretical and Computational Sciences (NITheCS), South Africa.The notions of dense, proper, separated or perfect morphisms and hence of compact, Hausdorff or compact Hausdorff are all consequent to good properties of a family of closed morphisms is well known in literature. Deeper consequences like the Tychonoff product theorem or the Stone Čech compactifications follow from richer properties of the set of closed morphisms. The purpose of this paper is to provide a closure operation on a preneighbourhood space so that the resulting set of closed morphisms possess all the properties mentioned above.https://cgasa.sbu.ac.ir/article_104597_10f1c49f276629154fa9a3682335c2cd.pdfclosure operatorideals and filters in latticeneighbourhood operatorproper factorisation systemsubobject lattice |
| spellingShingle | Partha Ghosh Another closure operator on preneighbourhood spaces Categories and General Algebraic Structures with Applications closure operator ideals and filters in lattice neighbourhood operator proper factorisation system subobject lattice |
| title | Another closure operator on preneighbourhood spaces |
| title_full | Another closure operator on preneighbourhood spaces |
| title_fullStr | Another closure operator on preneighbourhood spaces |
| title_full_unstemmed | Another closure operator on preneighbourhood spaces |
| title_short | Another closure operator on preneighbourhood spaces |
| title_sort | another closure operator on preneighbourhood spaces |
| topic | closure operator ideals and filters in lattice neighbourhood operator proper factorisation system subobject lattice |
| url | https://cgasa.sbu.ac.ir/article_104597_10f1c49f276629154fa9a3682335c2cd.pdf |
| work_keys_str_mv | AT parthaghosh anotherclosureoperatoronpreneighbourhoodspaces |