• Communications of the Korean Mathematical Society
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• v.18 no.3
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• pp.533-540
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• 2003

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

• The Pure and Applied Mathematics
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• v.14 no.1 s.35
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• pp.15-21
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• 2007

We introduce the notion of pre-convergence of p-stacks and characterize the pre-interior, pre-closure, separation axioms and pre-continuity on a topological space by using pre-convergence of p-stacks. We also introduce the notion of p-precompactness and investigate its properties in terms of pre-convergence of p-stacks.

• Communications of the Korean Mathematical Society
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• v.21 no.4
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• pp.749-758
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• 2006

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 supratopological spaces. We also introduce the notion of p-supracompactness and study some properties.