Hyperconvexity and tight-span theory for diversities
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Publication:1759374
DOI10.1016/j.aim.2012.08.008zbMath1256.54055arXiv1006.1095OpenAlexW2051986117WikidataQ60844164 ScholiaQ60844164MaRDI QIDQ1759374
Publication date: 20 November 2012
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.1095
Metric spaces, metrizability (54E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)
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Cites Work
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- Extension of uniformly continuous transformations and hyperconvex metric spaces
- Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory
- On the structure of the tight-span of a totally split-decomposable metric
- Characterizing cell-decomposable metrics
- Manhattan orbifolds
- Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces
- Parsimonious phylogenetic trees in metric spaces and simulated annealing
- The tree of life and other affine buildings
- A canonical decomposition theory for metrics on a finite set
- A greedy-algorithm characterization of valuated \(\Delta\)-matroids
- On the number of vertices and edges of the Buneman graph
- Some variations on a theme by Buneman
- Reconstructing trees from subtree weights.
- Small cones of \(m\)-hemimetrics
- A note on the metric properties of trees
- Tropical convexity
- Classification of six-point metrics
- \(T\)-theory: An overview
- A molecular sequence metric and evolutionary trees
- Hereditarily optimal realizations of consistent metrics
- Subtree prune and regraft: a reversible real tree-valued Markov process
- A geometric study of the split decomposition
- Six theorems about injective metric spaces
- The tight span of an antipodal metric space. I: combinatorial properties
- The hyperdeterminant and triangulations of the 4-cube
- A Note on Three-Way Dissimilarities and Their Relationship with Two-Way Dissimilarities
- Untersuchungen über verallgemeinerte m‐metrische Räume. III
