Non-Expansive Attractors with Specification
Non-Expansive Attractors with Specification
MOTOMASA KOMURO$k$ points $x_{1},$ $\cdots,$ $x_{k}\in X$, for every integers $a_{1}\leqq b_{1}<a_{2}\leqq b_{2}<\cdots<a_{k}\leqq b_{k}$ with $a_{i+1}-b_{i}\geqq K$ $(1\leqq i\leqq k-1)$ and for every integer $p$ with $p\geqq b_{k}-a_{1}+K$ , there exists a point $x\in X$ with $a^{p}x=x$ such that $ d(\sigma^{n}x, a^{n}x_{i})<\epsilon$ for $a_{i}\leqq n\leqq b,$ $1\leqq i\leqq k$ .(X, …