Completeness in generalized ultrametric spaces
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Publication:2263120
DOI10.1134/S2070046613020015zbMath1320.54017MaRDI QIDQ2263120
Publication date: 17 March 2015
Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)
injective hullCauchy completionstrong Cauchy completenessCauchy completenessspherical completeness\(\Gamma\)-ultrametric spaceinjective \(\Gamma\)-ultrametric space
Complete metric spaces (54E50) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)
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Embeddability into Relational Lattices Is Undecidable ⋮ Metric fixed point theory: a brief retrospective ⋮ Embeddability into relational lattices is undecidable ⋮ The ultra-quasi-metrically injective hull of a \(T_0\)-ultra-quasi-metric space ⋮ METRIC ABSTRACT ELEMENTARY CLASSES AS ACCESSIBLE CATEGORIES ⋮ On transferring model theoretic theorems of \(\mathcal L_{\infty,\omega}\) in the category of sets to a fixed Grothendieck topos ⋮ Relational Lattices via Duality ⋮ 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
Cites Work
- Extension of uniformly continuous transformations and hyperconvex metric spaces
- Generalized ultrametric spaces in quantitative domain theory
- Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces
- Sheaves in geometry and logic: a first introduction to topos theory
- Fixed points, combs and generalized power series
- Generalized ultrametric spaces. I
- Generalized ultrametric spaces. II
- Some model theory for generalized trees
- Six theorems about injective metric spaces
- Ultrametrically Injective Spaces
- Metric spaces, generalized logic, and closed categories
- Generosity Helps or an 11-Competitive Algorithm for Three Servers
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