Basic disconnectedness in bitopological spaces (Q2716692)
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scientific article; zbMATH DE number 1599340
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Basic disconnectedness in bitopological spaces |
scientific article; zbMATH DE number 1599340 |
Statements
11 November 2001
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basically disconnected bitopological spaces
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totally disconnectedness
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0.93471277
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0.89268863
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Basic disconnectedness in bitopological spaces (English)
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Based on the notion of basically disconnectedness for topological spaces the authors introduce the notion of pairwise basically disconnected bitopological spaces: a bitopological space \((X,T_1,T_2)\) is called pairwise basically disconnected iff the \(T_1\)-closure of the \(T_2\)-open \(T_2\)-\(F_\sigma \) set is \(T_2\)-open and the \(T_2\)-closure of each \(T_1\)-open \(T_1\)-\(F_\sigma\) set is \(T_1\) open. In the work equivalent characterizations for these bitopological spaces are given and several properties are investigated.
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