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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2019, v.26 no.3, pp.199-208
https://doi.org/10.7468/jksmeb.2019.26.3.199
Mirmiran, Majid
Naderi, Binesh

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 <TEX>$F_{\sigma}$</TEX>-kernel of sets are <TEX>$F_{\sigma}$</TEX>-sets.

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics