Applications of pre-open sets
Submitted: 2013-10-30
|Accepted: 2013-10-30
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Keywords:
Pre-limit point, Pre-derived set, Pre-interior, Pre-closure, Pre-interior points, Pre-border, Pre-frontier, Pre-exterior
Supporting agencies:
Abstract:
Using the concept of pre-open set, we introduce and study topological properties of pre-limit points, pre-derived sets, preinterior and pre-closure of a set, pre-interior points, pre-border, prefrontier and pre-exterior. The relations between pre-derived set (resp. pre-limit point, pre-interior (point), pre-border, pre-frontier, and preexterior) and α-derived set (resp. α-limit point, α-interior (point), α-border,
α-frontier, and α-exterior) are investigated.
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