Geodesic
Dynamical Systems
Affability of Euclidean tilings
[Affabilité des pavages euclidiens]

Présenté par : Étienne Ghys

Alcalde Cuesta, Fernando1 ; González Sequeiros, Pablo1 ; Lozano Rojo, Álvaro2
1 Dpto. Xeometría e Topoloxía, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
2 Dpto. Matemáticas, Universidad del País Vasco-Euskal Herriko Unibertsitatea, 48940 Leioa, Spain
Comptes Rendus. Mathématique, Tome 347 (2009) no. 15-16, pp. 947-952.

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We prove that every minimal equivalence relation on a Cantor set arising from the continuous hull of an aperiodic and repetitive Euclidean tiling is affable.

Nous prouvons que toute relation d'équivalence définie sur l'ensemble de Cantor par l'enveloppe d'un pavage euclidien apériodique et répétitif est affable.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.06.011

Alcalde Cuesta, Fernando 1 ; González Sequeiros, Pablo 1 ; Lozano Rojo, Álvaro 2

1 Dpto. Xeometría e Topoloxía, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
2 Dpto. Matemáticas, Universidad del País Vasco-Euskal Herriko Unibertsitatea, 48940 Leioa, Spain 
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Alcalde Cuesta, Fernando; González Sequeiros, Pablo; Lozano Rojo, Álvaro. Affability of Euclidean tilings. Comptes Rendus. Mathématique, Tome 347 (2009) no. 15-16, pp. 947-952. doi : 10.1016/j.crma.2009.06.011. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2009.06.011/

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☆ This work was supported by the Spanish Ministry of Education and Science (Research Projects MTM2004-08214 and MTM2007-66262), the University of the Basque Country (R. Project EHU 06/05), and the Spanish Network of Topology.