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A note on measure and expansiveness on uniform spaces

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A note on measure and expansiveness on uniform spaces

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Das, P.; Das, T. (2019). A note on measure and expansiveness on uniform spaces. Applied General Topology. 20(1):19-31. https://doi.org/10.4995/agt.2019.8843

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Título: A note on measure and expansiveness on uniform spaces
Autor: Das, Pramod Das, Tarun
Fecha difusión:
Resumen:
[EN] We prove that the set of points doubly asymptotic to a point has measure zero with respect to any expansive outer regular measure for a bi-measurable map on a separable uniform space. Consequently, we give a class ...[+]
Palabras clave: Expansiveness , Measure expansiveness , Expansive measures , Equicontinuity , Shadowing , Specification
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2019.8843
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2019.8843
Código del Proyecto:
info:eu-repo/grantAgreement/DST//IF150210/
Agradecimientos:
The first author is supported by the Department of Science and Technology, Government of India, under INSPIRE Fellowship (Registration No- IF150210) Program since March 2015.
Tipo: Artículo

References

A. Arbieto and C. A. Morales, Some properties of positive entropy maps, Ergodic Theory Dynam. Systems 34 (2014), 765-776. https://doi.org/10.1017/etds.2012.162

B. F. Bryant, On expansive homeomorphisms, Pacific J. Math. 10 (1960), 1163-1167. https://doi.org/10.2140/pjm.1960.10.1163

J. R. Brown, Ergodic theory and topological dynamics, Academic Press (1976). [+]
A. Arbieto and C. A. Morales, Some properties of positive entropy maps, Ergodic Theory Dynam. Systems 34 (2014), 765-776. https://doi.org/10.1017/etds.2012.162

B. F. Bryant, On expansive homeomorphisms, Pacific J. Math. 10 (1960), 1163-1167. https://doi.org/10.2140/pjm.1960.10.1163

J. R. Brown, Ergodic theory and topological dynamics, Academic Press (1976).

M. Brin and G. Stuck, Introduction to dynamical systems, Cambridge University Press (2002).

B. Carvalho and W. Cordeiro, N-expansive homeomorphisms with the shadowing property, J. Differential Equations 261 (2016), 3734-3755. https://doi.org/10.1016/j.jde.2016.06.003

W. Cordiero, M. Denker and X. Zhang, On specification and measure expansiveness, Discrete Continuous Dyn. Syst. 37 (2017), 1941-1957. https://doi.org/10.3934/dcds.2017082

T. Das, K. Lee, D. Richeson and J. Wiseman, Spectral decomposition for topologically Anosov homeomorphisms on non-compact and non-metrizable spaces, Topology Appl. 160 (2013), 149-158. https://doi.org/10.1016/j.topol.2012.10.010

P. Das and T. Das, Various types of shadowing and specification on uniform spaces, J. Dyn. Control Syst. 24 (2018), 253-267. https://doi.org/10.1007/s10883-017-9388-1

M. B. Feldman, A proof of Lusin's theorem, Amer. Math. Month. 88 (1981), 191-192. https://doi.org/10.1080/00029890.1981.11995222

J. F. Jacobsen and W. R. Utz, The non-existence of expansive homeomorphisms on a closed 2-cell, Pacific J. Math. 10 (1960), 1319-1321. https://doi.org/10.2140/pjm.1960.10.1319

I. M. James, Uniform and topological spaces, Springer-Verlag (1994).

J. Kelley, General topology, Van Nostrand Company (1955).

J. D. Knowles, On the existence of non-atomic measures, Mathematika 14 (1967), 62-67. https://doi.org/10.1112/S0025579300008020

C. A. Morales, Measure-expansive systems, Preprint, IMPA, D083 (2011).

C. A. Morales and V. Sirvent, Expansivity for measures on uniform spaces, Trans. Amer. Math. Soc. 368 (2016), 5399-5414. https://doi.org/10.1090/tran/6555

K. R. Parthasarathy, R. R. Ranga and S. R. S. Varadhan, On the category of indecomposable distributions on topological groups, Trans. Amer. Math. Soc. 102 (1962), 200-217. https://doi.org/10.1090/S0002-9947-1962-0153041-7

W. R. Utz, Unstable homeomorphisms, Proc. Amer. Math. Soc. 1 (1950), 769-774. https://doi.org/10.1090/S0002-9939-1950-0038022-3

R. Williams, Some theorems on expansive homeomorphisms, Amer. Math. Month. 8 (1966), 854-856. https://doi.org/10.2307/2314180

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