Quasihomeomorphisms and lattice equivalent topological spaces

Othman Eohi; Sami Lazaar

doi:10.4995/agt.2009.1736

Quasihomeomorphisms and lattice equivalent topological spaces

Othman Eohi^*, Sami Lazaar

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

This paper deals with lattice-equivalence of topological spaces. We are concerned with two questions: the first one is when two topological spaces are lattice equivalent; the second one is what additional conditions have to be imposed on lattice equivalent spaces in order that they be homeomorphic. We give a contribution to the study of these questions. Many results of Thron [Lattice-equivalence of topological spaces, Duke Math. J. 29 (1962), 671-679] are recovered, clarified and commented.

Original language	English
Pages (from-to)	227-237
Number of pages	11
Journal	Applied General Topology
Volume	10
Issue number	2
DOIs	https://doi.org/10.4995/agt.2009.1736
State	Published - 2009

Keywords

Quasihomeomorphism; lattice equivalence; sober space; t- space

ASJC Scopus subject areas

Geometry and Topology

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10.4995/agt.2009.1736

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AB - This paper deals with lattice-equivalence of topological spaces. We are concerned with two questions: the first one is when two topological spaces are lattice equivalent; the second one is what additional conditions have to be imposed on lattice equivalent spaces in order that they be homeomorphic. We give a contribution to the study of these questions. Many results of Thron [Lattice-equivalence of topological spaces, Duke Math. J. 29 (1962), 671-679] are recovered, clarified and commented.

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Quasihomeomorphisms and lattice equivalent topological spaces

Abstract

Keywords

ASJC Scopus subject areas

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