TY - JOUR
AU - Rodríguez-Guzmán, Diego
AB - 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 escence in order to inherit the diffeological equivalence in the context of one-dimensional tiling spaces.
TI - Tiling spaces are covering spaces over irrational tori
JF - Mathematics
DO - 10.48550/arxiv.2404.00508
DA - 2025-02-21
UR - https://www.deepdyve.com/lp/arxiv-cornell-university/tiling-spaces-are-covering-spaces-over-irrational-tori-S9kLoASnn6
VL - 2025
IS - 2404
DP - DeepDyve
ER -