On the limits of sequences of Darboux a.e. quasi-continuous functions. (English) Zbl 0802.26002

Grande, Z.

Acta Univ. Carol., Math. Phys. 34, No. 2, 41-46 (1993).

In this paper the author proves that every cliquish real function of a real variable is the limit of a sequence of Darboux functions quasi- continuous in O’Malley’s topology.

Reviewer: R.Pawlak (Łódź)

MSC:

26A15	Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
54A20	Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)

Keywords:

quasi-continuity; cliquish real function; Darboux functions; O’Malley’s topology