Work

Tiling spaces are covering spaces over irrational tori

Year: 2025

Type: article

Abstract: We study tiling spaces in the diffeological context. We prove some basic diffeological properties for tiling spaces and analyze two different fiber bundle structures of tiling spaces over irrational tori. We use the diffeological classification of irrational tori which captures their arithmetical essence to inherit the diffeological equivalence in the context of one-dimensional tiling spaces.

Source: Boletín de la Sociedad Matemática Mexicana

DOI: 10.1007/s40590-025-00737-5

Authors: Darío Alatorre, Diego Rodríguez-Guzmán

Institutions: Universidad Nacional Autónoma de México, Universidad de Guadalajara

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Consejo Nacional de Ciencia y Tecnología