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
Mirmiran,,
M.
, &
Naderi,,
B.
(2019). INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 26(3), 199-208, https://doi.org/10.7468/jksmeb.2019.26.3.199
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