JP Journal of Geometry and Topology
Volume 1, Issue 2, Pages 197 - 210
(July 2001)
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ANOTHER DECOMPOSITION OF IRRESOLUTENESS
Man Ki Kang (Korea), Jin Han Park (Korea) and Mi Jung Son (Korea)
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Abstract: The aim of this paper is to study properties of
l-semi-closed sets and to
provide other decompositions of semi-continuity and
irresoluteness. We prove that a function f
: (X,
t)
®
(Y, s)
is
semi-continuous (resp. irresolute) if and only if f
is gs-continuous
and l-semi-continuous (resp.
pre gs-continuous
and strongly l-semi-continuous). |
Keywords and phrases: gs-closed,
l-semi-closed, locally
semi-closed set, l-semi-continuous function. |
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