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Noiri, Takashi; Popa, Valeriu

A unified theory of weak continuity for functions. (English) Zbl 1164.54326

Rend. Circ. Mat. Palermo (2) 51, No. 3, 439-464 (2002).
Matching several previous publications of the authors and also the reviewer (see e.g. D. Gauld, S. Greenwood and 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.
Reviewer: David B. Gauld (Auckland)

Cited in 17 Documents

MSC:

54C08 Weak and generalized continuity

Keywords:

\(m\)-structure; weakly \(M\)-continuous; \(m\)-compact; \(m\)-connected; strongly \(m\)-closed graph
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\textit{T. Noiri} and \textit{V. Popa}, Rend. Circ. Mat. Palermo (2) 51, No. 3, 439--464 (2002; Zbl 1164.54326)
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References:

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