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完备一致空间的非标准特征
引用本文:陈东立.完备一致空间的非标准特征[J].东北数学,2002,18(3).
作者姓名:陈东立
作者单位:School of Science,Xi'an University of Architecture and Technology,Xi'an,710055
基金项目:Procject supported by the Special Science Foundation (oojk207) of the Educational Committee of Shaanxi Province, China.
摘    要:In This paper, we prove that the uniform space (X, ψ) is complete if and only if for every remote point p in *X, there exists a pseudo-metric d in the lattice set of ψ and a positive number r such that d(p, q) ≥ r for each q ∈ X.


The Non-standard Characteristics of Complete Uniform Space
CHEN Dongli.The Non-standard Characteristics of Complete Uniform Space[J].Northeastern Mathematical Journal,2002,18(3).
Authors:CHEN Dongli
Abstract:
Keywords:remote point  lattce set  complete uniform space
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