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On theorems of Pu & Pu and Grande. (English) Zbl 0863.26005

Given a finite set \(f_1,\dots ,f_k\) of cliquish functions it shown that there is a function \(\alpha\) for which every point is a Lebesgue point such that \(f_i+\alpha\) is Darboux and quasi-continuous for every \(i=1,\dots ,k\).

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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