Connected and not arcwise connected invariant sets for some 2-dimmensional dynamical systems
Fumio Nakajima
Source: J. Math. Kyoto Univ. Volume 49, Number 2
(2009), 339-346.
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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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.kjm/1256219160
Mathematical Reviews number (MathSciNet): MR2571845
Journal of Mathematics of Kyoto University
