Geodesic
Locally connected exceptional minimal sets of surface homeomorphisms
[Ensembles minimaux exceptionnels localement connexes des homéomorphismes des surfaces]
Biś, Andrzej1 ; Nakayama, Hiromichi ; Walczak, Pawel
1 Lódź; University, faculty of mathematics, Banacha 22, 90238 Lódź (Pologne), Hiroshima University, Faculty of Integrated Arts and Sciences, 1-7-1 Kagamiyama, Higashi-Hiroshima, 739-8521 (Japon)
Annales de l'Institut Fourier, Tome 54 (2004) no. 3, pp. 711-731

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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.

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.

DOI : 10.5802/aif.2031
Classification : 37E30, 37B45
Keywords: locally connected minimal sets, surface homeomorphisms
Mots-clés : ensembles minimaux localement connexes, homéomorphismes des surfaces

Biś, Andrzej 1 ; Nakayama, Hiromichi  ; Walczak, Pawel 

1 Lódź; University, faculty of mathematics, Banacha 22, 90238 Lódź (Pologne), Hiroshima University, Faculty of Integrated Arts and Sciences, 1-7-1 Kagamiyama, Higashi-Hiroshima, 739-8521 (Japon) 
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     title = {Locally connected exceptional minimal sets of surface homeomorphisms},
     journal = {Annales de l'Institut Fourier},
     pages = {711--731},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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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) no. 3, pp. 711-731. doi: 10.5802/aif.2031

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