Abstract
[EN] 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.
The authors wish to thank the DGRST 03/UR/15−03 for its partial support.
Echi, O.; Lazaar, S. (2009). Quasihomeomorphisms and lattice equivalent topological spaces. Applied General Topology. 10(2):227-237. https://doi.org/10.4995/agt.2009.1736