摘要
The concept of uniform connectedness, which generalizes the concept of well-chainedness for metric spaces, is used to prove the following: (a) If two points a and b of a compact Hausdorff uniform space (X,U) can be Joined by a U-chain for every U ε E [, then they lie together in the same component of X; (b) Let (X,U) be a compact Hausdorff uniform space, A and B non-empty disjoint closed subsets of X such that no component of X intersects both A and B. Then there exists a separation X = X_A U X_B, where X_A and X_B are disjoint compact sets containing A and B respectively. These generalize the corresponding results for metric spaces.
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