Embedding theorems for discrete dynamical systems and topological flows
Volume 270 / 2023
Studia Mathematica 270 (2023), 57-72
MSC: Primary 37B05; Secondary 54F45, 37C10.
DOI: 10.4064/sm211116-13-10
Published online: 9 January 2023
Abstract
We investigate embeddings for topological flows. We prove an embedding theorem for discrete topological systems which improves a 2019 result of Gutman, Qiao and Tsukamoto. Our results apply to suspension flows under constant functions, and for this case we show an embedding theorem for suspension flows and give a new proof of a 2020 embedding theorem of Gutman and Jin.
