DISTANCE GEOMETRY IN QUASIHYPERMETRIC SPACES. I

DOI10.1017/S0004972708000932zbMath1221.51019arXiv0809.0740MaRDI QIDQ5322932

Peter Nickolas, Reinhard Wolf

Publication date: 23 July 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0740

zbMATH Keywords

distance geometrysigned measurecompact metric spacemetric embeddingfinite metric spacegeometric constantspaces of measuresquasihypermetric spacesigned measure of mass zero

Mathematics Subject Classification ID

Compact (locally compact) metric spaces (54E45) General theory of distance geometry (51K05) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (12)

Distance geometry in quasihypermetric spaces. III ⋮ A problem on distance matrices of subsets of the Hamming cube ⋮ Estimating the gap of finite metric spaces of strict \(p\)-negative type ⋮ Distance covariance in metric spaces ⋮ Sums of distances on graphs and embeddings into Euclidean space ⋮ A note on the metric geometry of the unit ball ⋮ On the gap of finite metric spaces of \(p\)-negative type ⋮ On the completeness of certain kernel-defined semi-inner product spaces ⋮ Distance geometry in quasihypermetric spaces. II ⋮ Second errata to: ``Distance covariance in metric spaces ⋮ Finite quasihypermetric spaces ⋮ A direct proof that \(\ell_\infty^{(3)}\) has generalized roundness zero

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