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STRONG INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION BETWEEN TWO COMPARABLE REAL-VALUED FUNCTIONS

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.1, pp.1-12
https://doi.org/10.7468/jksmeb.2019.26.1.1
Mirmiran, Majid
Naderi, Binesh
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Abstract

Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that <TEX>$F_{\sigma}-kernel$</TEX> of sets are <TEX>$F_{\sigma}-sets$</TEX>.

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