On connectedness via a sequential method (Q2871819)
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scientific article; zbMATH DE number 6244148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On connectedness via a sequential method |
scientific article; zbMATH DE number 6244148 |
Statements
10 January 2014
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sequences
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series
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summability
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sequential closure
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\(G\)-sequential continuity
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\(G\)-sequentail connectedness
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On connectedness via a sequential method (English)
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\(G\)-sequential connectedness in topological groups was defined and investigated by the first author of this paper. Some results in this generalized setting were given in his paper [Appl. Math. Lett. 25, No. 3, 461--465 (2012; Zbl 1245.54021)]. In this paper, the authors give some further properties of \(G\)-sequential connectedness in topological groups and they present some substantial results which develop the concept of \(G\)-sequential connectedness. The authors also explain some further research problems in the last section of the paper.
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