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On quasi-continuous functions having Darboux property. (English) Zbl 0767.26005

Summary: Some classes of quasi-continuous Darboux like functions are studied. The maximal additive and multiplicative families for these classes are characterized. A necessary and sufficient condition for \(f\) to be the uniform limit of a sequence of quasi-continuous functions having the Darboux property is given.

MSC:

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