Communications of the
Korean Mathematical Society CKMS

In [1], we introduced the notion of $p$-stacks. In this paper, by using $p$-stacks we characterize $S^*$-continuous functions, separation axioms, supracompactness and some properties on supra\-topological spaces. We also introduce the notion of $p$-supra\-comp\-act\-ness and study some properties.

Keywords: $p$-stacks, ultrafilter, ultrapstack, convergence of $p$-stacks, separation axioms, $p$-supracompact

MSC numbers: 54A10, 54A20, 54D10, 54D30