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Volume 30 Number 2 2007 |
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On RW-Closed Sets in Topological Spaces
S.S. Benchalli and R.S. Wali
Abstract.
In this paper, a new class of sets called regular w-closed (briefly
rw-closed) sets in topological spaces is introduced and studied. A
subset A of a topological space (X,t) is called rw-closed if
U contains closure of A whenever U contains A and U is
regular semiopen in (X,t). This new class of sets lies between
the class of all w-closed sets and the class of all regular g-closed
sets. Some of their properties are investigated.
2000 Mathematics Subject Classification: 54A05
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