Near metrizability via a new approach

Authors

  • Dhananjoy Mandal University of Calcutta
  • M. N. Mukherjee University of Calcutta

DOI:

https://doi.org/10.4995/agt.2014.2049

Keywords:

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

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.

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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.

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Published

2014-04-01

How to Cite

[1]
D. Mandal and M. N. Mukherjee, “Near metrizability via a new approach”, Appl. Gen. Topol., vol. 15, no. 1, pp. 25–32, Apr. 2014.

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Articles