## On sums of Darboux functions.(English)Zbl 0802.26003

In this paper the author investigates the following problem: Under what assumption on the family $$F$$ of real functions of a real variable is one of the following conditions satisfied?
a(F): there exists a Darboux function $$g$$ such that $$f+g$$ is Darboux for each $$f \in F$$,
c(F): there exists a Darboux function $$g$$ such that $$f+g$$ is Darboux for no $$f \in F$$.
Reviewer: R.Pawlak (Łódź)

### MSC:

 26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable 54C40 Algebraic properties of function spaces in general topology
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