Geodesic
Insertion of a Contra-Baire-$1$ (Baire-$.5$) Function
Communications in Mathematics, Tome 27 (2019) no. 2, pp. 89-101

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MR Zbl
Necessary and sufficient conditions in terms of lower cut sets are given for the insertion of a Baire-$.5$ function between two comparable real-valued functions on the topological spaces that $F_{\sigma }$-kernel of sets are $F_{\sigma }$-sets.
Necessary and sufficient conditions in terms of lower cut sets are given for the insertion of a Baire-$.5$ function between two comparable real-valued functions on the topological spaces that $F_{\sigma }$-kernel of sets are $F_{\sigma }$-sets.
Classification : 26A15, 54C30
Keywords: Insertion; strong binary relation; Baire-$.5$ function; kernel of sets; lower cut set. 
Mirmiran, Majid. Insertion of a Contra-Baire-$1$ (Baire-$.5$) Function. Communications in Mathematics, Tome 27 (2019) no. 2, pp. 89-101. http://geodesic.mathdoc.fr/item/COMIM_2019_27_2_a2/
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     title = {Insertion of a {Contra-Baire-}$1$ {(Baire-}$.5$) {Function}},
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     volume = {27},
     number = {2},
     mrnumber = {4058168},
     zbl = {1470.26005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2019_27_2_a2/}
}
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