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ISSN : 1226-0657

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Vol.18 No.4
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DOMINATED SPLITTING WITH STABLY EXPANSIVE

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.4, pp.285-291
https://doi.org/10.7468/jksmeb.2011.18.4.285
Lee, Man-Seob
Lee,, M. (2011). DOMINATED SPLITTING WITH STABLY EXPANSIVE. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(4), 285-291, https://doi.org/10.7468/jksmeb.2011.18.4.285
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Abstract

In this paper, we show that if a transitive set <TEX>${\Lambda}$</TEX> is <TEX>$C^1$</TEX>-stably expansive, then <TEX>${\Lambda}$</TEX> admits a dominated splitting.

keywords
expansive, transitive set, dominated splitting, chain transitive set

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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