TY - JOUR
AU - Rodríguez-Guzmán, Diego
AB - 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.
TI - Tiling spaces are covering spaces over irrational tori
JO - Boletín de la Sociedad Matemática Mexicana
DO - 10.1007/s40590-025-00737-5
DA - 2025-07-01
UR - https://www.deepdyve.com/lp/springer-journals/tiling-spaces-are-covering-spaces-over-irrational-tori-ZD6FnI2ZZc
VL - 31
IS - 2
DP - DeepDyve
ER -