Ir al contenido

Documat


Merotopies associated with quasi-uniformities

  • Császár, Ákos [1]
    1. [1] Eötvös Loránd University

      Eötvös Loránd University

      Hungría

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 1, Nº. 1, 2000, págs. 1-12
  • Idioma: inglés
  • DOI: 10.4995/agt.2000.3020
  • Enlaces
  • Resumen
    • To an arbitrary quasi-uniformity on the set X, a merotopy on X is assigned. There are results concerning the question whether this merotopy is compatible with the topology induced by the quasi-uniformity end whether the closure operation induced by the merotopy, admits a compatible uniformity. More precise results are obtained in the case of transitive quasi-uniformities.

  • Referencias bibliográficas
    • Á.Császár, General Topology, Akademiai Kiado, Budapest, 1978.
    • Á.Császár, D-completions of Pervin-type quasi-uniformities, Acta Sci. Math. (Szeged) 57 (1993), 329{335.
    • Á.Császár and J. Deak, Simultaneous extensions of proximities, semi-uniformities, contiguities and merotopies I, Math. Pannon. 1/2 (1990),...
    • P. Fletcher and W.F. Lindgren, Quasi-Uniform Spaces, Marcel Dekker, Inc., New York and Basel, 1982.
    • M. Hall, Jr., Distinct representatives of subsets, Bull. Amer. Math. Soc. 54 (1948), 922{ 926.
    • P. Hall, On representatives of subsets, J. London Math. Soc. 10 (1935), 26{30.
    • H. Herrlich, Topological structures, Topological Structures (Proc. Symp. in honour of J. de Groot, Amsterdam, 1973) Math. Centre Tracts 52...
    • M. Katetov, On continuity structures and spaces of mappings, Comment. Math. Univ. Carolinae 6 (1965), 257{278.
    • L. Mirsky, Transversal Theory, Academic Press, New York.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno