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

Maliszewski, Aleksander

Math. Bohem. 121, No. 1, 83-87 (1996).

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 \(i=1,\dots ,k\).

Reviewer: Š.Schwabik (Praha)

MSC:

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

Keywords:

quasi-continuous function; cliquish function; Lebesgue function