Keywords

#generalized_metric_space

Generalized metric space

In mathematics, specifically in category theory, a generalized metric space is a metric space but without the symmetry property and some other properties. Precisely, it is a category enriched over , the one-point compactification of . The notion was introduced in 1973 by Lawvere who noticed that a metric space can be viewed as a particular kind of a category.

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Generalized metric space Metric space Hyperbolic metric space Minkowski space Uniform space Completions in category theory Pseudo-Riemannian manifold Riemannian manifold De Sitter space Separable space
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