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An Alternative Definition of the Completion of Metric Spaces

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 نشر من قبل Cheng Hao
 تاريخ النشر 2011
  مجال البحث
والبحث باللغة English
 تأليف Cheng Hao




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In this article, the author proposes another way to define the completion of a metric space, which is different from the classical one via the dense property, and prove the equivalence between two definitions. This definition is based on considerations from category theory, and can be generalized to arbitrary categories.



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