Tiling spaces are covering spaces over irrational tori

Autor:	Alatorre, Darío, Rodríguez-Guzmán, Diego
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry Mathematics - Dynamical Systems 37B50 58A40 52C23
Druh dokumentu:	Working Paper
Popis:	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 one-dimensional tiling spaces over the irrational torus. We use the diffeological classification of irrationatl tori which captures their arithmetical escence in order to inherit the diffeological equivalence in the context of tiling spaces. Comment: 27 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.00508 Zobrazit plný text záznamu View this record from Arxiv