An Alternative Definition of the Completion of Metric Spaces

Details An Alternative Definition of the Completion of Metric Spaces An Alternative Definition of the Completion of Metric Spaces

2008-10-05

arxiv.org/abs/0810.0805v3

World Sci-Tech R&D, 30 (2008), no. 4, 466-468

Mathematics

Functional Analysis

This paper has been withdrawn by the author. withdrawn

Scientific paper

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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