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On nearly Hausdorff compactifications

  • Shah, Sejal [1] ; Das, T.K. [1]
    1. [1] Maharaja Sayajirao University of Baroda

      Maharaja Sayajirao University of Baroda

      India

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 7, Nº. 1, 2006, págs. 125-130
  • Idioma: inglés
  • DOI: 10.4995/agt.2006.1937
  • Enlaces
  • Resumen
    • We introduce and study here the notion of nearly Hausdorffness, a separation axiom, stronger than T1 but weaker than T2. For a space X, from a subfamily of the family of nearly Hausdorff spaces, we construct a compact nearly Hausdorff space rX containing X as a densely C*-embedded subspace. Finally, we discuss when rX is βX.

  • Referencias bibliográficas
    • E. Cech, Topological Spaces, (John Wiley and Sons Ltd., 1966).
    • T. K. Das, On Projective Lift and Orbit Space, Bull. Austral. Math. Soc. 50 (1994), 445-449. http://dx.doi.org/10.1017/S0004972700013551
    • J. R. Porter and R. G. Woods, Extensions and Absolutes of Hausdorff Spaces, (Springer-Verlag, 1988). http://dx.doi.org/10.1007/978-1-4612-3712-9
    • L. A. Steen and J. A. Seebach, Jr., Counterexamples in Topology, (Springer-Verlag, 1978). http://dx.doi.org/10.1007/978-1-4612-6290-9
    • S. Willard, General Topology, (Addition-Wesley Pub. Comp., 1970).

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