no. 15-16
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.

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.

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.

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://archive.numdam.org/articles/10.1016/j.crma.2009.06.011/

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Cité par Sources :

☆ 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.