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    Pointwise topological stability and persistence (2019)
    Elsevier
    Details
    Publication Date: 2019
    Description: 〈p〉Publication date: Available online 20 August 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Mathematical Analysis and Applications〈/p〉 〈p〉Author(s): Meihua Dong, Keonhee Lee, Carlos Morales〈/p〉 〈h5〉Abstract〈/h5〉 〈div〉〈p〉We prove that if a homeomorphism of a compact metric space is equicontinuous and pointwise topologically stable, then it is persistent (in the sense of Lewowicz [12]). The proof relies on the notion of 〈em〉persistent measure〈/em〉 which has its own interest. We compute the Borel hierarchy of these measures and prove that they are not necessarily topologically stable (in the sense of [9]).〈/p〉〈/div〉
    Print ISSN: 0022-247X
    Electronic ISSN: 1096-0813
    Topics: Mathematics
    Published by Elsevier
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