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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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Main Authors: Chew, K. P., Tuang, P. K.
Format: Article
Language:English
Published: Faculty of Science, University of Malaya 1975
Online Access: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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spelling 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 13.211869

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