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perfectly compact

Last-modified: 2010-07-26 (月) 17:46:05

Definition Edit

  • A space X is perfectly compact if whenever {G_i} is a monotonic collection of subsets
    of X, there exists a point p in X that is either a point or a limit point of each G_i.

Reference Edit

  • Scott Varagona, Inverse Limit Spaces, A Thesis the Graduate Faculty of Auburn University.