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Compactness on bipolar soft topological spaces
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It is the purpose of this paper to go somewhat deeper into the structure
of bipolar soft topological spaces. We shall introduce the concept of
bipolar soft compactness. By using bipolar soft sets, this situation it
furnishes us a basic tool to investigate the compactness in a more
general way. For compactness the hereditary property with respect to
bipolar soft closed subsets holds. So, bipolar soft compactness is a
good extension. The continuous images of bipolar soft compact sets are
bipolar soft compact. If bipolar soft topological space is bipolar soft
T₂-space, then it will satisfy a stronger separation axiom which will be
called bipolar soft normal space in tis paper. Lately for bipolar soft
compactness, the Tychonoff product theorem holds.
Title: Compactness on bipolar soft topological spaces
Description:
It is the purpose of this paper to go somewhat deeper into the structure
of bipolar soft topological spaces.
We shall introduce the concept of
bipolar soft compactness.
By using bipolar soft sets, this situation it
furnishes us a basic tool to investigate the compactness in a more
general way.
For compactness the hereditary property with respect to
bipolar soft closed subsets holds.
So, bipolar soft compactness is a
good extension.
The continuous images of bipolar soft compact sets are
bipolar soft compact.
If bipolar soft topological space is bipolar soft
T₂-space, then it will satisfy a stronger separation axiom which will be
called bipolar soft normal space in tis paper.
Lately for bipolar soft
compactness, the Tychonoff product theorem holds.
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