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

  • Mirmiran, Majid (Department of Mathematics, University of Isfahan) ;
  • Naderi, Binesh (School of Managment and Medical Information, Medical University of Isfahan)
  • Received : 2019.03.01
  • Accepted : 2019.06.12
  • Published : 2019.08.31

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

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