Near metrizability via a new approach

Dhananjoy Mandal, M. N. Mukherjee

Abstract

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.

Keywords

nearly paracompact space; regular open set; nearly regular and uniform pseudo-bases; nearly metrizable.

Subject classification

54D20; 54E99.

Full Text:

PDF

References

A. V. Arhangel'skii and V. I. Ponomarev, Fundamentals of General topology: Problems and exercises, Hindustan publishing corporation(India), 1984.

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), 334-345.

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), 103-118.

Abstract Views

1119
Metrics Loading ...

Metrics powered by PLOS ALM




Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt