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.
Citation
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
