Partition axioms and lattice - equivalence of topological spaces
The purpose of this paper is to introduce new space structures Do1, Dv1/2and D1 which we shall refer to as partition axioms and prove that two Do-spaces are lattice-equivalent if and only if their T0 identifications are homeomorphic. As a consequence, we have that every cardinal preserving lattice-e...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Faculty of Science, University of Malaya
1975
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| Online Access: | http://psasir.upm.edu.my/id/eprint/39854/ http://psasir.upm.edu.my/id/eprint/39854/1/Partition%20axioms%20and%20lattice%20-%20equivalence%20of%20topological%20spaces.pdf |
| _version_ | 1848849261018480640 |
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| author | Chew, K. P. Tuang, P. K. |
| author_facet | Chew, K. P. Tuang, P. K. |
| author_sort | Chew, K. P. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The purpose of this paper is to introduce new space structures Do1, Dv1/2and D1 which we shall refer to as partition axioms and prove that two Do-spaces are lattice-equivalent if and only if their T0 identifications are homeomorphic. As a consequence, we have that every cardinal preserving lattice-equivalence between two D1/2 -spaces are induced by a homeomorphism, and a result of Thron (1962) saying that two TD-spaces are lattice-equivalent if they are homeomorphic also follows. |
| first_indexed | 2025-11-15T09:47:35Z |
| format | Article |
| id | upm-39854 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:47:35Z |
| publishDate | 1975 |
| publisher | Faculty of Science, University of Malaya |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-398542015-09-29T01:23:01Z http://psasir.upm.edu.my/id/eprint/39854/ Partition axioms and lattice - equivalence of topological spaces Chew, K. P. Tuang, P. K. The purpose of this paper is to introduce new space structures Do1, Dv1/2and D1 which we shall refer to as partition axioms and prove that two Do-spaces are lattice-equivalent if and only if their T0 identifications are homeomorphic. As a consequence, we have that every cardinal preserving lattice-equivalence between two D1/2 -spaces are induced by a homeomorphism, and a result of Thron (1962) saying that two TD-spaces are lattice-equivalent if they are homeomorphic also follows. Faculty of Science, University of Malaya 1975 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/39854/1/Partition%20axioms%20and%20lattice%20-%20equivalence%20of%20topological%20spaces.pdf Chew, K. P. and Tuang, P. K. (1975) Partition axioms and lattice - equivalence of topological spaces. Malaysian Journal of Science, 3 (B). pp. 133-137. ISSN 1394-3065 |
| spellingShingle | Chew, K. P. Tuang, P. K. Partition axioms and lattice - equivalence of topological spaces |
| title | Partition axioms and lattice - equivalence of topological spaces |
| title_full | Partition axioms and lattice - equivalence of topological spaces |
| title_fullStr | Partition axioms and lattice - equivalence of topological spaces |
| title_full_unstemmed | Partition axioms and lattice - equivalence of topological spaces |
| title_short | Partition axioms and lattice - equivalence of topological spaces |
| title_sort | partition axioms and lattice - equivalence of topological spaces |
| url | http://psasir.upm.edu.my/id/eprint/39854/ http://psasir.upm.edu.my/id/eprint/39854/1/Partition%20axioms%20and%20lattice%20-%20equivalence%20of%20topological%20spaces.pdf |