Indivisible ultrametric spaces
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Publication:935250
DOI10.1016/j.topol.2008.03.012zbMath1158.54011arXivmath/0702466OpenAlexW2010741201MaRDI QIDQ935250
Christian Delhommé, Maurice Pouzet, Claude Laflamme, Norbert W. Sauer
Publication date: 6 August 2008
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702466
Metric spaces, metrizability (54E35) Special maps on metric spaces (54E40) Model theory of finite structures (03C13) Embedding (54C25)
Related Items (15)
An embedding, an extension, and an interpolation of ultrametrics ⋮ Divisibility of countable metric spaces ⋮ Extending proper metrics ⋮ Bipartite graphs and best proximity pairs ⋮ Hereditary properties of finite ultrametric spaces ⋮ Constructions of Urysohn universal ultrametric spaces ⋮ Simultaneous extensions of metrics and ultrametrics of high power ⋮ Age and weak indivisibility ⋮ On ultrametric-preserving functions ⋮ Combinatorial properties of ultrametrics and generalized ultrametrics ⋮ Diameter and diametrical pairs of points in ultrametric spaces ⋮ Finite ultrametric balls ⋮ The range of ultrametrics, compactness, and separability ⋮ Ultrametric preserving functions and weak similarities of ultrametric spaces ⋮ Best proximity pairs in ultrametric spaces
Cites Work
- Metric spaces are Ramsey
- Theory of relations. Transl. from the French by P. Clote
- Indivisible homogeneous directed graphs and a game for vertex partitions
- A corrigendum to the article: Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups
- Divisibility of countable metric spaces
- The category of ultrametric spaces is isomorphic to the category of complete, atomic, tree-like, and real graduated lattices LAT\(^*\)
- Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
- Canonical Vertex Partitions
- On ultrametrization of general metric spaces
- Sur l'extension aux relations de quelques propriétés des ordres
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