In this paper,we discuss basic properties of uniform structures and Vietoris topologies of hyperspaces which induced by uniform spaces,and prove that the Vietoris topology and uniform topol-ogy induced by a uniform space are compatible.Moreover,we characterize the limit of the family of sets with finite intersection property,and give a new proof of the hyperspace induced by a compact Hausdorff space is still compact Hausdorff.
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维普
