闭连续函数的数列逆保持性

Inverse Preservation of Convergent Number-sequence on Closed Continuous Functions

解决了收敛数列连续函数保持性的一个逆问题.即对于f(D)中任一收敛数列y{n},必存在D中收敛数列{xn},使得{f(xn)}是y{n}的子数列,其中DR,f(x)是D上的闭连续函数.

We solve an inverse problem of convergent number-sequence of continuous functions preservation, we prove that for any convergent number-sequence {yn} in f（D） , there exists a convergent number-sequence {xn } in D such that {f（xn） } is a subsequence of {yn } , where D R , f（x） is a closed continuous function on D.