A unified theory of \(\theta\)-continuity for functions (Q2569645)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A unified theory of \(\theta\)-continuity for functions |
scientific article |
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A unified theory of \(\theta\)-continuity for functions (English)
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26 April 2006
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There are many examples in the literature of properties related to continuity of functions between topological spaces. Attempts have been made to simplify the theory of such properties, for example through changing the topology on domain and/or range, cf. \textit{D. Gauld, S. Greenwood} and \textit{I. Reilly} [Topology Atlas Invited Contributions 4, 1--54 (1999)]. In the paper under review this procedure has been applied to a number of properties related to \(\theta\)-continuity using a generalisation of a topology, which the authors call a minimal structure.
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\(m\)-structure
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\(m\)-closed
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strongly \(\theta-M\)-closed graph
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weakly \(M\)-continuous
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\(\theta-M\)-continuous
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\(M\)-continuous
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0.97760034
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0.9481056
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0.93411374
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