DOMINATED SPLITTING WITH STABLY EXPANSIVE

Lee, Man-Seob; Lee, Man-Seob

doi:10.7468/jksmeb.2011.18.4.285

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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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

Reference

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Article Contents

Vol.18 No.4

DOMINATED SPLITTING WITH STABLY EXPANSIVE

Abstract

Reference

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