K-CONTINUOUS FUNCTIONS AND RIGHT B1 COMPOSITORS
Abstract: A function g : R → R
from the real line to itself is called a right B1 compositor if for any Baire
class one function f : R → R, f ◦ g : R → R is Baire class one. In this study,
we first apply Jayne-Rogers Theorem [2] to prove that every right B1 compositor
is D-continuous where D is the class of all positive functions on R and thus
give a positive answer to a problem posed by D. Zhao. This result then
characterizes the right B1 compositor as a class of naturally defined functions.
Furthermore, we also improved some of the results in [4]. Lastly, a counterexample
was constructed to a claim in [4] that every function with a finitenumber of
discontinuity points is left B1 compositor.
Author: Jonald P. Fenecios and
Emmanuel A. Cabral
Journal Code: jpmatematikagg120012
