Affability of Euclidean tilings

Fernando Alcalde Cuesta; Pablo González Sequeiros; Álvaro Lozano Rojo

doi:10.1016/j.crma.2009.06.011

Dynamical Systems

Affability of Euclidean tilings
[Affabilité des pavages euclidiens]

Présenté par : Étienne Ghys

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

Comptes Rendus. Mathématique, Volume 347 (2009) no. 15-16, pp. 947-952.

Résumé
Abstract

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 : 2007-12-11
Accepté le : 2009-06-17
Publié le : 2009-07-02

DOI : 10.1016/j.crma.2009.06.011

Affiliations des auteurs :

Fernando Alcalde Cuesta ¹ ; Pablo González Sequeiros ¹ ; Álvaro Lozano Rojo 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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     title = {Affability of {Euclidean} tilings},
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     pages = {947--952},
     publisher = {Elsevier},
     volume = {347},
     number = {15-16},
     year = {2009},
     doi = {10.1016/j.crma.2009.06.011},
     language = {en},
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Fernando Alcalde Cuesta; Pablo González Sequeiros; Álvaro Lozano Rojo. Affability of Euclidean tilings. Comptes Rendus. Mathématique, Volume 347 (2009) no. 15-16, pp. 947-952. doi : 10.1016/j.crma.2009.06.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.06.011/

Bibliographie
Cité par

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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.

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