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A note on uniform entropy for maps having topological specification property

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A note on uniform entropy for maps having topological specification property

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Shah, S.; Das, R.; Das, T. (2016). A note on uniform entropy for maps having topological specification property. Applied General Topology. 17(2):123-127. https://doi.org/10.4995/agt.2016.4555

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Título: A note on uniform entropy for maps having topological specification property
Autor: Shah, Sejal Das, Ruchi Das, Tarun
Fecha difusión:
Resumen:
[EN] We prove that if a uniformly continuous self-map $f$ of a uniform space has topological specification property then the map $f$ has positive uniform entropy, which extends the similar known result for homeomorphisms ...[+]
Palabras clave: Topological specification property , Uniform entropy , Uniform spaces
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.2016.4555
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2016.4555
Código del Proyecto:
info:eu-repo/grantAgreement/UGC//42-25%2F2013(SR)/
Agradecimientos:
The second author is supported by UGC Major Research Project F.N. 42-25/2013(SR)
Tipo: Artículo

References

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Amigó, J., Keller, K., & Unakafova, V. A. (2015). On entropy, entropy-like quantities, and applications. Discrete and Continuous Dynamical Systems - Series B, 20(10), 3301-3343. doi:10.3934/dcdsb.2015.20.3301

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Adler, R. L., Konheim, A. G., & McAndrew, M. H. (1965). Topological entropy. Transactions of the American Mathematical Society, 114(2), 309-309. doi:10.1090/s0002-9947-1965-0175106-9

Amigó, J., Keller, K., & Unakafova, V. A. (2015). On entropy, entropy-like quantities, and applications. Discrete and Continuous Dynamical Systems - Series B, 20(10), 3301-3343. doi:10.3934/dcdsb.2015.20.3301

Bowen, R. (1971). Entropy for group endomorphisms and homogeneous spaces. Transactions of the American Mathematical Society, 153, 401-401. doi:10.1090/s0002-9947-1971-0274707-x

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Goodman, T. N. T. (1971). Relating Topological Entropy and Measure Entropy. Bulletin of the London Mathematical Society, 3(2), 176-180. doi:10.1112/blms/3.2.176

Hood, B. M. (1974). Topological Entropy and Uniform Spaces. Journal of the London Mathematical Society, s2-8(4), 633-641. doi:10.1112/jlms/s2-8.4.633

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