TY - JOUR
T1 - On chain recurrent sets of typical bounded Baire one functions
AU - Alikhani-Koopaei, Aliasghar
N1 - Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2019/4/15
Y1 - 2019/4/15
N2 - In this note we present some results on typical properties of the chain recurrent sets of bounded Baire one functions. In particular we show that typical members of bounded Baire one functions have closed chain recurrent sets and μ(A(f))=0, where μ is an arbitrary finite Borel measure on the unit interval and A(f) is the closure of the set of chain recurrent points of f or any of its subsets.
AB - In this note we present some results on typical properties of the chain recurrent sets of bounded Baire one functions. In particular we show that typical members of bounded Baire one functions have closed chain recurrent sets and μ(A(f))=0, where μ is an arbitrary finite Borel measure on the unit interval and A(f) is the closure of the set of chain recurrent points of f or any of its subsets.
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U2 - 10.1016/j.topol.2019.02.011
DO - 10.1016/j.topol.2019.02.011
M3 - Article
AN - SCOPUS:85062038905
SN - 0166-8641
VL - 257
SP - 1
EP - 10
JO - Topology and its Applications
JF - Topology and its Applications
ER -