Near metrizability via a new approach

Dhananjoy Mandal; M. N. Mukherjee

Ayuda

Near metrizability via a new approach

Mandal, Dhananjoy ^[1] ; Mukherjee, M. N. ^[1]
1. [1] University of Calcutta
  
  University of Calcutta
  
  India
Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 15, Nº. 1, 2014, págs. 25-32
Idioma: inglés
DOI: 10.4995/agt.2014.2049
Enlaces
- Texto completo
Resumen
- The present article deals with near metrizability, initiated in an earlier paper, with a new orientation and approach. The notions of nearly regular and uniform pseudo-bases are introduced and analogues of some results concerning metrizability and paracompactness are obtained for near metrizability and near paracompactness respectively via the proposed approach, suitably formulated.
Referencias bibliográficas
- A. V. Arhangel'skii and V. I. Ponomarev, Fundamentals of General topology: Problems and exercises, Hindustan publishing corporation(India),...
- R. Engelking, General Topology, Sigma series in Pure Mathematics, Berlin, Heldermann, 1989.
- N. Ergun, A note on nearly paracompactness, Yokahama Math. Jour. 31 (1983), 21-25.
- I. Kovacevic, Almost regularity as a relaxation of nearly paracompactness, Glasnik Mat. 13 (33)(1978), 339-341.
- I. Kovacevic, On nearly paracomapct spaces, Publications De L'institut Mathematique 25 (1979), 63-69.
- M. N. Mukherjee and D. Mandal, On some new characterizations of near paracompactness and associated results, Mat. Vesnik 65, no. 3 (2013),...
- M. N. Mukherjee and D. Mandal, Concerning nearly metrizable spaces, Applied General Topology 14, no. 2 (2013), 135-145. (http://dx.doi.org/10.4995/agt.2013.1583)
- 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.
- J. W. Tukey, Convergence and uniformity in topology, Princeton University Press, Princeton, N. J. 1940. ix+90 pp. Transl. (2), 78 (1968),...