ward compact

Last-modified: 2010-08-07 (土) 00:04:50

Definition

  • A subset A of R is called ward compact if whenever imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cmathbf%7ba%7d=%28a_n%29%20%5c%5d%7d%25.png is a sequence of points in A there is a quasi-Cauchy subsequence? imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cmathbf%7bz%7d%20=%20%28z_k%29%20=%20%28a_%7bn_k%7d%20%29%20%5c%5d%7d%25.png of imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cmathbf%7ba%7d%20%5c%5d%7d%25.png .