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On two notions of topological entropy for noncompact spaces

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  • Fedeli, Alessandro

Abstract

This paper is a contribution to the investigation of two notions of topological entropy for noncompact spaces introduced by J.E. Hofer. In particular, a conjecture of Hofer on the coincidence of his definitions for the autohomeomorphisms of Tychonoff spaces is disproved.

Suggested Citation

  • Fedeli, Alessandro, 2009. "On two notions of topological entropy for noncompact spaces," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 432-435.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:432-435
    DOI: 10.1016/j.chaos.2007.07.097
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Superstrings, entropy and the elementary particles content of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 48-54.
    2. Kwietniak, Dominik & Oprocha, Piotr, 2007. "Topological entropy and chaos for maps induced on hyperspaces," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 76-86.
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