Viewing topic: Fininite Intersection Property

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Fininite Intersection Property

  • Definition: A collection C of subsets of X is said to have the finite intersection property if for every finite subcollection {C_1, ... , C_n} of C, the intersection of all C_i is nonempty. In other words, the arbitrary intersection (from i=1 to i=n) of C_i is nonempty.

    Source: Topology (second edition) by James R. Munkres

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