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.

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

MSC: 54D20

Pages:  23$-$29     

Volume  50 ,  Issue  1$-$2 ,  1998