Insertion of A Baire-one Function

A Sufficient Condition for the Insertion of a Contra-continuous (baire-one) Function

A sufficient condition for the insertion of a contra-continuous (resp. Baire-one) function between two comparable real-valued functions is given on the topological spaces that Λ-sets are open (resp. Gδ-sets).

Insertion of a gamma-continuous function

A necessary and sufficient condition in terms of lower cut sets are given for the insertion of a $gamma-$continuous function between two comparable real-valued functions.

Functions Whose Composition with Baire Class One Functions Are Baire Class One

We study the functions whose composition with Baire class one functions are Baire class one functions. We first prove some characterizations of such functions, then investigate a subclass of such functions which are defined in a natural way.

Insertion of a Function Belonging to a Certain Subclass of R^x

insertion of a gamma-continuous function

a necessary and sufficient condition in terms of lower cut sets are given for the insertion of a $gamma-$continuous function between two comparable real-valued functions.