Quasihomeomorphisms and lattice equivalent topological spaces

Othman Echi, Sami Lazaar
DOI: https://doi.org/10.4995/agt.2009.1736

Abstract

This paper deals with lattice-equivalence of topologica lspaces. 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.

Keywords

Quasihomeomorphism; Lattice equivalence; Sober space; TD- space

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References

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