TY - JOUR
T1 - Equi-Baire one family of functions on metric spaces
T2 - A generalization of equi-continuity; and some applications
AU - Alikhani-Koopaei, Aliasghar
N1 - Publisher Copyright:
© 2020 Elsevier B.V.
PY - 2020/5/15
Y1 - 2020/5/15
N2 - In this article we introduce a generalization of the concept of equicontinuity, namely the concept of Equi-Baire one for a family of functions on metric spaces. We use this concept to obtain some results similar to those existing in the literature that are derived from equicontinuity. We also give some applications, and investigate the relations between equi-Baire one property of the family F={fn}n=1 ∞ for a Baire one function f and its dynamics.
AB - In this article we introduce a generalization of the concept of equicontinuity, namely the concept of Equi-Baire one for a family of functions on metric spaces. We use this concept to obtain some results similar to those existing in the literature that are derived from equicontinuity. We also give some applications, and investigate the relations between equi-Baire one property of the family F={fn}n=1 ∞ for a Baire one function f and its dynamics.
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U2 - 10.1016/j.topol.2020.107170
DO - 10.1016/j.topol.2020.107170
M3 - Article
AN - SCOPUS:85083054002
SN - 0166-8641
VL - 277
JO - Topology and its Applications
JF - Topology and its Applications
M1 - 107170
ER -