Simplexes with prescribed edge lengths in Minkowski and Banach spaces

DOI10.1023/A:1006727810727zbMath0996.52011OpenAlexW1815144131MaRDI QIDQ5932718

Boris V. Dekster

Publication date: 13 June 2001

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006727810727

zbMATH Keywords

Minkowski spaceBanach spaceprescribed edge lengthssimplexes

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (10)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Equilateral Dimension of Certain Classes of Normed Spaces ⋮ Maximal equilateral sets ⋮ On large equilateral point-sets in normed spaces ⋮ Large Banach spaces with no infinite equilateral sets ⋮ On embeddings of finite subsets of ℓ_{𝑝} ⋮ Geometry where direction matters -- or does it? ⋮ A lower bound for the equilateral number of normed spaces ⋮ Equilateral sets in infinite dimensional Banach spaces ⋮ Large equilateral sets in subspaces of \(\ell_\infty^n\) of small codimension

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