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Specification Property for Topological Spaces

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Abstract

We introduce and study here the notion of specification property termed as topological specification property for homeomorphisms on non-compact non-metrizable spaces. We prove that if a self homeomorphism on a totally bounded uniform space is mixing, topologically expansive and topologically shadowing then the map has topological specification property.

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Acknowledgments

The second author was supported by UGC Major Research Project F.N. 42-25/2013(SR) and the third author was supported by UGC Major Research Project F. N. 41-793/2012(SR) for carrying out this research.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, The M. S. University of Baroda, Vadodara, 390002, Gujarat, India

    Sejal Shah

  2. Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India

    Ruchi Das & Tarun Das

Authors
  1. Sejal Shah
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  2. Ruchi Das
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  3. Tarun Das
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Correspondence to Ruchi Das.

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Shah, S., Das, R. & Das, T. Specification Property for Topological Spaces. J Dyn Control Syst 22, 615–622 (2016). https://doi.org/10.1007/s10883-015-9275-6

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  • DOI: https://doi.org/10.1007/s10883-015-9275-6

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