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...
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| المؤلفون الرئيسيون: | , |
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| التنسيق: | مقال |
| اللغة: | English |
| منشور في: |
Faculty of Science, University of Malaya
1975
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| الوصول للمادة أونلاين: | http://psasir.upm.edu.my/id/eprint/39854/1/Partition%20axioms%20and%20lattice%20-%20equivalence%20of%20topological%20spaces.pdf http://psasir.upm.edu.my/id/eprint/39854/ |
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my.upm.eprints.39854 |
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eprints |
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my.upm.eprints.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 |
| institution |
Universiti Putra Malaysia |
| building |
UPM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Putra Malaysia |
| content_source |
UPM Institutional Repository |
| url_provider |
http://psasir.upm.edu.my/ |
| language |
English |
| 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. |
| format |
Article |
| author |
Chew, K. P. Tuang, P. K. |
| spellingShingle |
Chew, K. P. Tuang, P. K. Partition axioms and lattice - equivalence of topological spaces |
| author_facet |
Chew, K. P. Tuang, P. K. |
| author_sort |
Chew, K. P. |
| title |
Partition axioms and lattice - equivalence of topological spaces |
| title_short |
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_sort |
partition axioms and lattice - equivalence of topological spaces |
| publisher |
Faculty of Science, University of Malaya |
| publishDate |
1975 |
| url |
http://psasir.upm.edu.my/id/eprint/39854/1/Partition%20axioms%20and%20lattice%20-%20equivalence%20of%20topological%20spaces.pdf http://psasir.upm.edu.my/id/eprint/39854/ |
| _version_ |
1643832544715603968 |
| score |
13.251813 |