Quasihomeomorphisms and lattice equivalent topological spaces

• Echi, Othman ^[1] ; Lazaar, Sami ^[2]
  1. [1] King Fahd University of Petroleum and Minerals

     King Fahd University of Petroleum and Minerals

     Arabia Saudí

     
  2. [2] University Tunis-El Manar
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 10, Nº. 2, 2009, págs. 227-237
• Idioma: inglés
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• Resumen

  • 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.