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
Mirmiran,,
M.
, &
Naderi,,
B.
(2019). 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, 26(1), 1-12, https://doi.org/10.7468/jksmeb.2019.26.1.1
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