Between compactness and completeness

Gerald Beer

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Between compactness and completeness

机译：在紧凑性和完整性之间

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Call a sequence in a metric space cofinally Cauchy if for each positive s there exists a cofinal (rather than residual) set of indices whose corresponding terms are ε-close. We give a number of new characterizations of metric spaces for which each cofinal

机译：如果对于每个正数s存在一个共终（而不是残差）索引集，且其对应项为ε-close，则在度量空间中共称柯西。我们为度量空间提供了许多新的表征，每个度量共同

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来源
《Topology and its applications》 |2008年第6期|p.503-514|共12页
作者
Gerald Beer;
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作者单位

Department of Mathematics, California State University Los Angeles, 5151 State University Drive, Los Angeles, CA 90032, USA;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
cofinally complete metric; cofinally Cauchy sequence; UC metric; atsuji metric; complete metric; hausdorff distance;

机译：共最终完全度量;共柯西序列;UC度量;atsuji度量;完全度量;hausdorff距离;

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Between compactness and completeness

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