TY - JOUR
T1 - On the sets of fixed points of bounded Baire one functions
AU - Alikhani-Koopaei, Aliasghar
PY - 2019/6/1
Y1 - 2019/6/1
N2 - In this paper, we present some results on typical properties of the sets of fixed points of bounded Baire one functions. In particular, we show that typical elements of a uniformly closed subclass of such class of functions have nowhere dense set of fixed points. We also show that typical elements of the class of bounded Baire one functions have μ[f-1(F(f))] = 0, where μ is an arbitrary continuous Borel measure on the unit interval.
AB - In this paper, we present some results on typical properties of the sets of fixed points of bounded Baire one functions. In particular, we show that typical elements of a uniformly closed subclass of such class of functions have nowhere dense set of fixed points. We also show that typical elements of the class of bounded Baire one functions have μ[f-1(F(f))] = 0, where μ is an arbitrary continuous Borel measure on the unit interval.
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U2 - 10.1142/S1793557119500402
DO - 10.1142/S1793557119500402
M3 - Article
AN - SCOPUS:85047817823
SN - 1793-5571
VL - 12
JO - Asian-European Journal of Mathematics
JF - Asian-European Journal of Mathematics
IS - 3
M1 - 1950040
ER -