Six theorems about injective metric spaces

Isbell, J. R. (1964). Six theorems about injective metric spaces. Commentarii Mathematici Helvetici, 65-76.

Type

Journal article

Intellectual base

Primary research

Year

1964

DOI

10.1007/bf02566944

Link

https://doi.org/10.1007/BF02566944

Cited by

2 citations across 2 artifacts.

Domain-specific

• Category of metric spaces
  • … universe, metric-space convention, morphism inequality, identities and composition, equality of arrows, isomorphisms, monomorphisms and epimorphisms and categorical constructions are explicit. to An applied instance preserves the same invariant under changed scale, notation, dataset, jurisdiction, or implementation..
• Metric Space Aimed at Its Subspace
  • Isbell's injective envelope represents a metric space through admissible functions and minimality; modern accounts explicitly distinguish the larger admissible function space \(\operatorname{Aim}(X)\) from the minimal tight span \(E(X)\).

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