1. Let （X, d） be a compact metric space, and denote by C0（X, X） the set of all continuous self-mappings of X with C0-topology. Let f∈C0 （X, X） and ε>0. If x,y∈X, an ε-chain from x to y is a finite sequenc...1. Let （X, d） be a compact metric space, and denote by C0（X, X） the set of all continuous self-mappings of X with C0-topology. Let f∈C0 （X, X） and ε>0. If x,y∈X, an ε-chain from x to y is a finite sequence of points {x0,…, xn} of X with x=x0, y=xn and d(f(xi-1), xi)<ε for i=1, …, n. Let CRε（x） denote the set of y∈X such that there is an ε-chain from x to y. We say x can展开更多
基金Project supported in part by the Foundation of Zhongshan University Advanced Research Centre.
文摘1. Let （X, d） be a compact metric space, and denote by C0（X, X） the set of all continuous self-mappings of X with C0-topology. Let f∈C0 （X, X） and ε>0. If x,y∈X, an ε-chain from x to y is a finite sequence of points {x0,…, xn} of X with x=x0, y=xn and d(f(xi-1), xi)<ε for i=1, …, n. Let CRε（x） denote the set of y∈X such that there is an ε-chain from x to y. We say x can
