Eulers Charakteristik und kombinatorische Geometrie.

DOI10.1515/crll.1955.194.101zbMath0064.16602OpenAlexW3184641778MaRDI QIDQ5847705

Hugo Hadwiger

Publication date: 1955

Published in: crll (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002177129

zbMATH Keywords

metric geometry, convex geometry, integral geometry

Related Items (31)

Valuations on Convex Bodies: The Classical Basic Facts ⋮ Families of convex sets having convex union ⋮ On the Euler characteristic of finite unions of convex sets ⋮ Valuations and polarity ⋮ Kinematic formulas for finite vector spaces ⋮ Linear algebra of convex sets and the euler characteristic ⋮ The invariator principle in convex geometry ⋮ On a generalization of Zaslavsky's theorem for hyperplane arrangements ⋮ Zur Eulerschen Charakteristik allgemeiner, insbesondere konvexer Polyeder ⋮ Die Euler-Charakteristik von Vereinigungen konvexer Mengen im R ⋮ Zur Einführung der Eulerschen Charakteristik und Begründung des Satzes von Euler-Schläfli ⋮ Combinatorial identities for polyhedral cones ⋮ A recursive sweep-plane algorithm, determining all cells of a finite division of \(R^ m\). ⋮ Euler characteristic and multiple coverings ⋮ Anisotropic smoothness spaces via level sets ⋮ Arrangements of planes in space ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions] ⋮ On polyhedra with extremal Euler characteristic ⋮ On the Euler characteristic in spaces with a separability property ⋮ Characteristic for reflexive relations ⋮ Computing a sweeping-plane in regular (``general) position: A numerical and a symbolic solution ⋮ Mengenalgebra und Eulersche Charakteristik ⋮ Morse theory and toric vector bundles ⋮ Space sweep solves intersection of convex polyhedra ⋮ On angle sums and Steiner points of polyhedra ⋮ Eulersche Charakteristik, Projektionen und Quermassintegrale. (Euler characteristics, projections and mean cross-sectional measures.) ⋮ Ein Fortsetzungssatz für additive Eipolyederfunktionale im euklidischen Raum ⋮ Erweiterter Polyedersatz und Euler-Shephardsche Additionstheoreme ⋮ A sweep-plane algorithm for generating random tuples in simple polytopes ⋮ A sweep-plane algorithm for computing the volume of polyhedra represented in Boolean form ⋮ A sweep-plane algorithm for computing the Euler-characteristic of polyhedra represented in Boolean form

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