Locally connected exceptional minimal sets of surface homeomorphisms
[Ensembles minimaux exceptionnels localement connexes des homéomorphismes des surfaces]
Biś, Andrzej ; Nakayama, Hiromichi ; Walczak, Pawel
Annales de l'Institut Fourier, Tome 54 (2004), p. 711-731 / Harvested from Numdam
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On examine les ensembles minimaux exceptionnels localement connexes des homéomorphismes des surfaces. Si la surface est différente de tore, ils sont finis ou composés de courbes simples fermés. Dans le tore, ils peuvent aussi prendre la forme similaire à l'ensemble de Sierpiński.

We deal with locally connected exceptional minimal sets of surface homeomorphisms. If the surface is different from the torus, such a minimal set is either finite or a finite disjoint union of simple closed curves. On the torus, such a set can admit also a structure similar to that of the Sierpiński curve.

Publié le : 2004-01-01
DOI : https://doi.org/10.5802/aif.2031
Classification:  37E30,  37B45
Mots clés: ensembles minimaux localement connexes, homéomorphismes des surfaces 
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     author = {Bi\'s, Andrzej and Nakayama, Hiromichi and Walczak, Pawel},
     title = {Locally connected exceptional minimal sets of surface homeomorphisms},
     journal = {Annales de l'Institut Fourier},
     volume = {54},
     year = {2004},
     pages = {711-731},
     doi = {10.5802/aif.2031},
     mrnumber = {2097420},
     zbl = {1055.37045},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2004__54_3_711_0}
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Biś, Andrzej; Nakayama, Hiromichi; Walczak, Pawel. Locally connected exceptional minimal sets of surface homeomorphisms. Annales de l'Institut Fourier, Tome 54 (2004) pp. 711-731. doi : 10.5802/aif.2031. http://gdmltest.u-ga.fr/item/AIF_2004__54_3_711_0/

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