Abstract
We study the properties of quasihomeomorphisms and meet-semilattice equivalences of generalized topological spaces. Since the results of lattice equivalence of topological spaces were stated by the concept of closedness, so we give a generalization of those results for generalized topological spaces by defining closed sets by closure operators.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Adámek, H. Herrlich and G. E. Strecker, Abstract and Concrete Categories, John Wiley and Sons Inc. (New York, 1990).
Császár Á.: Generalized topology, generalized continuity. Acta Math. Hungar. 96, 351–357 (2002)
Császár Á.: Generalized open sets in generalized topologies. Acta Math. Hungar. 106, 53–66 (2005)
Echi O., Lazaar S.: Quasihomeomorphisms and lattice equivalent topological spaces. Appl. Gen. Topol. 10, 227–237 (2009)
Finch P. D.: On the lattice-equivalence of topological spaces. J. Austral. Math. Soc. 6, 495–511 (1966)
A. Grothendieck and J. Dieudonné, Eléments de Géométrie Algébrique, Die Grundlehren der mathematischen Wissenschaften, 166, Springer-Verlag (New York, 1971).
Mashhur A. S., Allam A.A., Mahmoud F.S., Khedr F.H.: On supratopological spaces, J. Pure Appl. Math. 14, 502–510 (1983)
Thron W. J.: Lattice-equivalence of topological spaces. Duke Math. J. 29, 671–679 (1962)
Yip K. W.: Quasi-homeomorphisms and lattice equivalences of topological spaces. J. Austral. Math. Soc. 14, 41–44 (1972)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mirhosseinkhani, G. Quasihomeomorphisms and meet-semilattice equivalences of generalized topological spaces. Acta Math. Hungar. 147, 272–285 (2015). https://doi.org/10.1007/s10474-015-0557-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10474-015-0557-y