Ir al contenido

Documat


Concerning nearly metrizable spaces

  • Mukherjee, M. N. [1] ; Mandal, Dhananjoy [1]
    1. [1] University of Calcutta

      University of Calcutta

      India

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 14, Nº. 2, 2013, págs. 135-145
  • Idioma: inglés
  • DOI: 10.4995/agt.2013.1583
  • Enlaces
  • Resumen
    • The purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability. A number of characterizations of nearly metrizable spaces is achieved here as analogues of the corresponding ones for metrizable spaces. It is seen that near metrizability is a natural idea vis-a-vis near paracompactness, playing the similar role as played by paracompactness with regard to metrizability

  • Referencias bibliográficas
    • D. E. Cameron, Maximal QHC-space, Rocky Mountain Jour. Math. 7, no. 2 (1977), 313-322. http://dx.doi.org/10.1216/RMJ-1977-7-2-313
    • J. Dugundji, Topology, Allyn and Bacon, Boston (1966).
    • N. Ergun, A note on nearly paracompactness, Yokahama Math. Jour. 31 (1983), 21-25.
    • L. L. Herrington, Properties of nearly compact spaces, Proc. Amer. Math. Soc. 45 (1974), 431-436. http://dx.doi.org/10.1090/S0002-9939-1974-0346748-3
    • Kovacevic, Almost regularity as a relaxation of nearly paracompactness, Glasnik Mat. 13(33) (1978), 339-341.
    • Kovacevic, On nearly paracomapct spaces, Publ. Inst. Math. 25 (1979), 63-69.
    • M. Mrsevic, I. L. Reilly and M. K. Vamanamurthy, On semi-regularization topologies, Jour. Austral. Math. Soc. (Series A) 38 (1985), 40-54...
    • M. N. Mukherjee and D. Mandal, On some new characterizations of near paracompactness and associated results, Mat. Vesnik 65 (3) (2013), 334-345.
    • J. Nagata, Modern General Topology, Elsevier Sciences Publishings Second Revised Edition B.V. (1985).
    • T. Noiri, A note on nearly paracompact spaces, Mat. Vesnik 5 (18) (33} (1981), 103-108.
    • M. K. Singal and S. P. Arya, On almost regular spaces, Glasnik Mat. 4 (24) (1969), 89-99.
    • M. K. Singal and S. P. Arya, On nearly paracompact spaces, Mat. Vesnik 6 (21) (1969), 3-16.
    • M. K. Singal and A. Mathur, On nearly compact spaces, Boll. Un. Mat. Ital. 4 (1969), 702-710.
    • L. A. Steen and J. A. Seebach, Counterexamples in Topology, Spinger-Verlag, New York (1970).
    • N. V. Velicko, H-closed topological spaces, Amer. Math. Soc. Transl. 78 (1968), 103-118.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno