Takens' embedding theorem with a continuous observable

Preprint English OPEN
Gutman, Yonatan;
  • Subject: Mathematics - Dynamical Systems | Mathematical Physics | 37C45, 54H20

Let $(X,T)$ be a dynamical system where $X$ is a compact metric space and $T:X\rightarrow X$ is continuous and invertible. Assume the Lebesgue covering dimension of $X$ is $d$. We show that for a generic continuous map $h:X\rightarrow[0,1]$, the $(2d+1)$-delay observati... View more
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