On average Hewitt–Stromberg measures of typical compact metric spaces
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02239-3
Abstract: We study average Hewitt–Stromberg measures of typical compact metric spaces belonging to the Gromov–Hausdorff space (of all compact metric spaces) equipped with the Gromov–Hausdorff metric. read more here.
Keywords: compact metric; measures typical; stromberg measures; metric spaces ... See more keywords
Eventually Shadowable Points
Sign Up to like & getrecommendations! Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00367-4
Abstract: We study the eventually shadowable points namely points for which every pseudo orbit passing through then can be eventually shadowed (Good and Meddaugh in Ergod Theory Dyn Syst 38(1):143–154, 2018). We will prove the following… read more here.
Keywords: eventually shadowable; shadowable points; compact metric; eventual shadowing ... See more keywords
Strong submeasures and applications to non-compact dynamical systems
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DOI: 10.1017/etds.2020.132
Abstract: A strong submeasure on a compact metric space X is a sub-linear and bounded operator on the space of continuous functions on X. A strong submeasure is positive if it is non-decreasing. By the Hahn–Banach… read more here.
Keywords: strong submeasures; strong submeasure; metric space; compact metric ... See more keywords
Topological coarse shape groups of compact metric spaces
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DOI: 10.21857/9xn31cvr1y
Abstract: The shape theory and, relatively new, coarse shape theory are very useful in studying of topological spaces, as well as of the corresponding algebraic invariants, especially, shape and coarse shape groups. By using certain ultrametrics… read more here.
Keywords: shape; topological coarse; shape groups; metric spaces ... See more keywords