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2009 Connected and not arcwise connected invariant sets for some 2-dimmensional dynamical systems
Fumio Nakajima
J. Math. Kyoto Univ. 49(2): 339-346 (2009). DOI: 10.1215/kjm/1256219160

Abstract

The invariant Cantor set of Smale's horseshoe map is imbedded into a connented and not arcwise connected, invariant, compact set with zero Lebesgue measure.

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Fumio Nakajima. "Connected and not arcwise connected invariant sets for some 2-dimmensional dynamical systems." J. Math. Kyoto Univ. 49 (2) 339 - 346, 2009. https://doi.org/10.1215/kjm/1256219160

Information

Published: 2009
First available in Project Euclid: 22 October 2009

zbMATH: 1185.37057
MathSciNet: MR2571845
Digital Object Identifier: 10.1215/kjm/1256219160

Rights: Copyright © 2009 Kyoto University

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Vol.49 • No. 2 • 2009
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