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We are going to establish some results of T1T2-d semiconnectedness and compactness in a bitopological space. Besides, we will
investigate several results in T1T2-d semiconnectedness for subsets in bitopological spaces. In particular, we will discuss the
relationship related to semiconnectedness between the topological spaces and bitopological space. Tat is, if a bitopological space
(X, T1, T2) is T1T2-d semiconnected, then the topological spaces (X, T1) and (X, T2) are d-semiconnected. In addition, we introduce
the result which states that a bitopological space (X, T1, T2) is T1, T2-d semiconnected if and only if X and � are the only subsets of X
which are T1, T2-d semiclopen sets. Moreover, we have proved some results in compactness also. Altogether, several results of T1, T2-d
semiconnectedness and compactness in a bitopological space have been discussed |
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