A unified theory of weak continuity for functions (Q2569785)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A unified theory of weak continuity for functions |
scientific article |
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A unified theory of weak continuity for functions (English)
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20 October 2005
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Matching several previous publications of the authors and also the reviewer (see e.g. \textit{D. Gauld}, \textit{S. Greenwood} and \textit{I. Reilly} [On variations of continuity, Topology Atlas Invited Contributions, 4, 1--54 (1999)]), the authors present a notion of ''continuity'' which is exemplified by a number of notions near to continuity. The basic concept is a minimal structure (a subfamily of the power set containing the empty set and the whole space) which replaces the topologies. The focus is on the resulting notions of (weak) \(M\)-continuity and related notions.
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\(m\)-structure
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weakly \(M\)-continuous
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\(m\)-compact
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\(m\)-connected
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strongly \(m\)-closed graph
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