INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION
INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION
한국수학교육학회지시리즈B:순수및응용수학 / 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
(Department of Mathematics, University of Isfahan)
Naderi, Binesh
(School of Managment and Medical Information, Medical University of Isfahan)
Mirmiran, Majid,
&
Naderi, Binesh.
(2019). INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION. 한국수학교육학회지시리즈B:순수및응용수학, 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
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insertion,
strong binary relation,
Baire-.5 function,
kernel of sets,
lower cut set