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Connected and not arcwise connected invariant sets for some 2-dimmensional dynamical systems
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.
期刊介绍:
Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.