# INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION

• Accepted : 2019.06.12
• Published : 2019.08.31
• 14 1

#### Abstract

A necessary and sufficient condition in terms of lower cut sets is given for the insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that whose $F_{\sigma}$-kernel of sets are $F_{\sigma}$-sets.

#### Keywords

insertion;strong binary relation;Baire-.5 function;kernel of sets;lower cut set

#### Acknowledgement

Supported by : University of Isfahan