Quasihomeomorphisms and lattice equivalent topological spaces

Quasihomeomorphisms and lattice equivalent topological spaces

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....

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Bibliographic Details
Main Authors: Othman Echi, Sami Lazaar
Format: Article
Language:English
Published: Universitat Politècnica de València 2009-10-01
Series:Applied General Topology
Subjects:
Quasihomeomorphism
Lattice equivalence
Sober space
TD- space
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1736
Description
Summary: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.
ISSN:1576-9402
1989-4147

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