Quotients of Darboux-like functions. (English) Zbl 1203.26004

Kosman, Jolanta; Maliszewski, Aleksander

Real Anal. Exch. 35(2009-2010), No. 1, 243-252 (2010).

The authors characterize the families of quotients of functionally connected, connected and almost continuous functions. Results concerning common divisor for the families of the quotients of functionally connected (resp. connected, almost continuous) functions with respect to functional connectivity (resp. connectivity, almost continuity) are established.

Reviewer: Zoltán Finta (Cluj-Napoca)

MSC:

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

Keywords:

Darboux-like function; Darboux-function; functionally connected function; connected function; almost continuous function; quotient of functions