Abstract

In this paper, we point out that properties $P_{\Sigma}$ due to Wang [18] and strongly $s$-regular due to Ganster [5] are equivalent to each other. We further study these spaces and weakly-$P_{\Sigma}$ spaces defined by the second author [15].

Keywords: $P_{\Sigma}$, weakly-$P_{\Sigma}$, strongly $s$-regular, $s^*$-regular, $s$-regular, almost-regular, regular closed, semi-open, almost-continuous, almost-open.

MSC: 54D10, 54B05 54C08

Pages:  87--93     

Volume  48 ,  Issue  3$-$4 ,  1996