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On cohomological C 0-(in)stability

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Abstract

After Katok [3], a homeomorphism f: M → M is said to be cohomologically C 0-stablewhen its space of real C 0-coboundaries is closed in C 0 (M). In this short notewe completely classify cohomologically C 0-stable homeomorphisms, showing that periodic homeomorphisms are the only ones.

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Authors and Affiliations

  1. Instituto de Matemática e EstatÍstica, Universidade Federal Fluminense, Rua Mário Santos Braga, s/n, Niterói, RJ, Brazil

    Alejandro Kocsard

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  1. Alejandro Kocsard
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Correspondence to Alejandro Kocsard.

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Kocsard, A. On cohomological C 0-(in)stability. Bull Braz Math Soc, New Series 44, 489–495 (2013). https://doi.org/10.1007/s00574-013-0023-9

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  • DOI: https://doi.org/10.1007/s00574-013-0023-9

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