some results of τ1τ2-δ semiconnectedness and compactness in bitopological spaces
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ID: 246867
2018
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Abstract
We are going to establish some results of τ1τ2-δ semiconnectedness and compactness in a bitopological space. Besides, we will investigate several results in τ1τ2-δ semiconnectedness for subsets in bitopological spaces. In particular, we will discuss the relationship related to semiconnectedness between the topological spaces and bitopological space. That is, if a bitopological space (X,τ1,τ2) is τ1τ2-δ semiconnected, then the topological spaces (X,τ1) and (X,τ2) are δ-semiconnected. In addition, we introduce the result which states that a bitopological space (X,τ1,τ2) is τ1τ2-δ semiconnected if and only if X and ϕ are the only subsets of X which are τ1τ2-δ semiclopen sets. Moreover, we have proved some results in compactness also. Altogether, several results of τ1τ2-δ semiconnectedness and compactness in a bitopological space have been discussed.
| Reference Key |
arunmaran2018journalsome
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|---|---|
| Authors | ;M. Arunmaran;K. Kannan |
| Journal | molecular imaging and radionuclide therapy |
| Year | 2018 |
| DOI |
10.1155/2018/7863713
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| URL | |
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