Document Zbl 0843.26002

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Extendability and almost continuity. (English) Zbl 0843.26002

Real Anal. Exch. 21(1995-96), No. 1, 349-355 (1996).

Summary: Every function \(f: [0, 1]\to [- 1, 1]\) can be expressed as the sum of three extendable functions, as the maximum of two minima of extendable functions and as the limit of a transfinite sequence of extendable functions.

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Cited in 1 Document

MSC:

26A15	Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
54C08	Weak and generalized continuity

Keywords:

Darboux function; extendable function; connectivity function; almost continuous function; peripherally continuous function; \(g\)-negligible set

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