Characterizations of Strongly Compact Spaces
2009 ◽
Vol 2009
◽
pp. 1-9
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A topological space(X,τ)is said to be strongly compact if every preopen cover of(X,τ)admits a finite subcover. In this paper, we introduce a new class of sets called -preopen sets which is weaker than both open sets and -open sets. Where a subsetAis said to be -preopen if for eachx∈Athere exists a preopen setUxcontainingxsuch thatUx−Ais a finite set. We investigate some properties of the sets. Moreover, we obtain new characterizations and preserving theorems of strongly compact spaces.
2007 ◽
Vol 59
(3)
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pp. 465-487
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Keyword(s):
2020 ◽
Vol 28
(5)
◽
pp. 727-738
1974 ◽
Vol 26
(4)
◽
pp. 920-930
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2015 ◽
Vol 7
(1)
◽
pp. 62-73
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2003 ◽
Vol 2003
(72)
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pp. 4547-4555
Keyword(s):
Keyword(s):
2007 ◽
Vol 2007
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pp. 1-13
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