An Alternative Definition of the Completion of Metric Spaces

Cheng Hao

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arXiv · 0810.0805

An Alternative Definition of the Completion of Metric Spaces

Cheng Hao

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Abstract

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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Cheng Hao. 2011-12-03. An Alternative Definition of the Completion of Metric Spaces. https://arxiv.org/abs/0810.0805

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