On finitely continuous Darboux functions and strong finitely continuous functions. (English) Zbl 1147.26003

Marciniak, Mariola

Real Anal. Exch. 33(2007-2008), No. 1, 15-22 (2008).

It is shown that the Darboux property implies continuity of strong finitely continuous functions and that the family \(DB^{**}_1\) is superporous in the space of all finitely continuous functions with the Darboux property.

Reviewer: Zoltán Finta (Cluj-Napoca)

MSC:

26A15	Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
26A21	Classification of real functions; Baire classification of sets and functions

Keywords:

Darboux function; finitely continuous functions; strong finitely continuous functions