Abstract

The idea of countable near paracompactness of a topological space, as a natural offshoot of the well known concept of near paracompactness, is introduced and investigated in this article. In the process, the notion of semi nearly normal spaces is initiated. Apart from its characterizations, semi near normality is used for the investigation of countably nearly paracompact spaces.

Keywords: Near paracompactness; countable near paracompactness; semi nearly normal space; regular open set; $\delta$-open set.

MSC: 54D20, 54D99

Pages:  265$-$273     

Volume  66 ,  Issue  3 ,  2014