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.

UR - http://www.scopus.com/inward/record.url?scp=85062038905&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85062038905&partnerID=8YFLogxK

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 -