Extensions of uniformly continuous transformations and hyperconvex metric spaces

Aronszajn, N., & Panitchpakdi, P. (1956). Extensions of uniformly continuous transformations and hyperconvex metric spaces. Pacific Journal of Mathematics.

Type

Journal article

Intellectual base

Primary research

Year

1956

DOI

10.2140/pjm.1956.6.405

DOI registrant

Mathematical Sciences Publishers

Link

https://doi.org/10.2140/pjm.1956.6.405

Cited by

2 citations across 2 artifacts.

Domain-specific

• Category of metric spaces
  • Some authors use continuous or Lipschitz maps instead, so the chosen Met convention is constitutive; products, coproducts and categorical monos or epis depend on it.
• Injective metric space
  • Injectivity is relative to isometric embeddings and 1-Lipschitz maps, hyperconvexity uses arbitrary compatible closed-ball families and geodesic convexity alone is weaker.

Verification

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