Ultrametrically Injective Spaces

DOI10.2307/2046411zbMath0631.54014OpenAlexW4236961121MaRDI QIDQ3768003

José Manuel Bayod, Javier Martinez Maurica

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046411

zbMATH Keywords

contractive mappingsinjective envelopeinjective objectsspherical completenesscategory of ultrametric spaces

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Extension of maps (54C20)

Related Items (10)

The injective hull of ultra-quasi-metric versus \(q\)-hyperconvex hull of quasi-metric space ⋮ Some characterizations of ultrametrically injective spaces ⋮ Javier Martinez Maurica: A mathematician and a friend ⋮ The ultra-quasi-metrically injective hull of a \(T_0\)-ultra-quasi-metric space ⋮ Completeness in generalized ultrametric spaces ⋮ Subdominant Ultrametrics ⋮ A fixed point theorem for commuting families of relational homomorphisms. Applications to metric spaces, ordered sets and oriented graphs ⋮ Free monoids and generalized metric spaces ⋮ When separability of the space of ultra-extremal functions is preserved ⋮ Best proximity pairs in ultrametric spaces

Cites Work

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• Extension of uniformly continuous transformations and hyperconvex metric spaces
• Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces
• A metric basis characterization of Euclidean spaces
• Six theorems about injective metric spaces
• An Injective Metrization for Collapsible Polyhedra
• A SPHERICAL COMPLETION WITHIN THE INFINITESIMAL HULL OF AN ULTRAMETRIC PACE
• Extending Uniformly Continuous Pseudo-Ultrametrics and Uniform Retracts
• s Admits an Injective Metric

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