On nearly paracompact spaces via regular even covers

Authors

  • M. N. Mukherjee Department of Pure mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta–700 019, India Author
  • Atasi Debray Department of Pure mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta–700 019, India Author

Keywords:

Nearly paracompact spaces, almost regular spaces, regular even cover, strongly locally finite cover, strongly discrete cover

Subjects:

54D20

Abstract

The concept of near paracompactness is a well known weaker form of paracompactness, first introduced by Singal and Arya [6], followed by its further pursuit by many others. In the present paper, the same concept has been investigated in terms of a certain type of cover, called regular even cover. A number of characterizations of almost regular nearly paracompact spaces, including those analogous to the famous Michael's results on a regular paracompact space, have been achieved.

Downloads

Published

1998-04-15

Issue

Vol. 50 No. 1–2 (1998): Vol. 50, Issue 1–2

Section

Articles

License

Copyright (c) 1998 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.