Connected and not arcwise connected invariant sets for some 2-dimmensional dynamical systems
Nakajima, Fumio
J. Math. Kyoto Univ., Tome 49 (2009) no. 1, p. 339-346 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  
@article{1256219160,
     author = {Nakajima, Fumio},
     title = {Connected and not arcwise connected invariant sets for some 2-dimmensional dynamical systems},
     journal = {J. Math. Kyoto Univ.},
     volume = {49},
     number = {1},
     year = {2009},
     pages = { 339-346},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256219160}
}

Nakajima, Fumio. Connected and not arcwise connected invariant sets for some 2-dimmensional dynamical systems. J. Math. Kyoto Univ., Tome 49 (2009) no. 1, pp.  339-346. http://gdmltest.u-ga.fr/item/1256219160/