2022
DOI: 10.1016/j.topol.2022.108267
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On dynamics of families of equi-Baire one functions on metric spaces

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Cited by 2 publications
(5 citation statements)
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“…The theory developed in this paper could be of interest to mathematicians working in fields including topology [13], functional analysis [10], and dynamical systems [11,12].…”
Section: Discussionmentioning
confidence: 99%
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“…The theory developed in this paper could be of interest to mathematicians working in fields including topology [13], functional analysis [10], and dynamical systems [11,12].…”
Section: Discussionmentioning
confidence: 99%
“…Notice that the notion of equi-Baire 1 family of functions can also be found in the paper of Alighani-Koopaei [11], who showed its applications in dynamical systems [11,12].…”
Section: Definition 1 ([10]mentioning
confidence: 94%
See 1 more Smart Citation
“…The characterization of Baire 1 functions by LTZ-property motivated Lecomte in his paper [15] to introduce the notion of equi-Baire 1 family of functions. Then it was rediscovered by Alighani-Koopaei [1] who showed its applications in dynamical systems; see also his recent paper [2]. Definition 3.1.…”
Section: Equi-baire 1 and Equi-lebesgue Familiesmentioning
confidence: 99%
“…(2) ⇒ (1): By (2) consider a subsequence (f n k ) of (f n ) described in (2). By Theorem 5.2 there is a subsequence of the sequence (f n k ) which uniformly converges on X.…”
Section: Properties Concerning Uniform Convergencementioning
confidence: 99%