Communications of the
Korean Mathematical Society CKMS

We introduce the notion of semi-convergence of $p$-stacks and by using that notion we characterize the semi-interior, semi-closure, separation axioms and semi-continuity on a topological space. Also we introduce a new notion of $p$-semicompactness and investigate its properties in terms of semi-convergence of $p$-stacks.

Keywords: $p$-stacks, semi-convergence of $p$-stacks, ultrapstacks, $p$-semicompact

MSC numbers: 54A20, 54C08, 54D10