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Partition axioms and lattice - equivalence of topological spaces


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Universiti Pertanian Malaysia
Publisher: Faculty of Science, University of Malaya
Keywords: Axioms; Lattice
Depositing User: Mohd Hafiz Che Mahasan
Date Deposited: 29 Sep 2015 01:21
Last Modified: 29 Sep 2015 01:23
URI: http://psasir.upm.edu.my/id/eprint/39854
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