Combinatorial geometry
type: Item
instance of: scholarly article
title: Combinatorial geometry
zbMATH Open document ID: 0517.51010
DOI: 10.1007/BF01090178
published in: Journal of Soviet Mathematics
publication date: 1983-01-01T00:00:00Z
Mathematics Subject Classification ID: 51D20
Mathematics Subject Classification ID: 05B40
Mathematics Subject Classification ID: 52Bxx
Mathematics Subject Classification ID: 52A35
Mathematics Subject Classification ID: 52C17
zbMATH DE Number: 3818537
zbMATH Keywords: dissection
zbMATH Keywords: Borsuk's problem
zbMATH Keywords: illumination problem
author: V. G. Boltyanski
MaRDI profile type: Publication
cites work: Q5734056
cites work: Q4169863
cites work: Extremal H-convex bodies
cites work: Q4048170
cites work: Q4076427
cites work: Q5556250
cites work: Partitioning families of convex bodies
cites work: Q5341376
cites work: Axiomatization of volume in elementary geometry
cites work: Q4115752
cites work: Convex Analysis
cites work: Q3852282
cites work: Q4118424
cites work: ILLUMINATION FROM WITHIN OF THE BOUNDARY OF A CONVEX BODY
cites work: Q5617498
cites work: Q5678118
cites work: Q3855770
cites work: Q5638354
cites work: Intersections of spherically convex sets
cites work: Intersections of convex cones
cites work: Q5833535
cites work: Über Unterdeckungen der Ebene durch Kreise.
cites work: Überdeckung der Ebene durch inkongruente Kreise
cites work: Unterdeckung der Ebene durch inkongruente Kreise
cites work: Multiple Packing of Circles in the Plane
cites work: A Three-Fold Non-Lattice Covering
cites work: On covering of bounded sets by sets with the twice less diameter
cites work: Generalization of the theorems of Radon, Helly, and Caratheodory
cites work: Convexity spaces. I: The basis properties
cites work: Convexity spaces. II: Separation
cites work: Convexity spaces. III: Dimension
cites work: Some Elementary Properties of Interval Convexities
cites work: On a conjecture of Fejes Toth
cites work: Über Durchschnittseigenschaften n-dimensionaler Kugelfamilien.
cites work: Zerlegungsrelationen zwischen regulären Polyedern des \(E^d\)
cites work: Polytopes in non necessarily complete convexity spaces
cites work: The densest lattice packing of tetrahedra
cites work: Q3900609
cites work: Q3213812
cites work: Der Satz von Radon in konvexen Produktstrukturen. I
cites work: Covering a Three-Dimensional set with Sets of Smaller Diameter
cites work: Sets of constant width in finite dimensional Banach spaces
cites work: On the Lattice Constant of a Symmetric Convex Domain
cites work: Sur la densité des réseaux de domaines convexes
cites work: Multiple packing and covering of spheres
cites work: Scheibenpackungen konstanter Nachbarnzahl
cites work: Mehrfache gitterförmige Kreis- und Kugelanordnungen
cites work: The Double Packing of Spheres
cites work: Multiple Packing of Spheres
cites work: Double packing of spheres: a new upper bound
cites work: Some Results on Order-Convexity
cites work: On Inscribing n-Dimensional Sets in a Regular n-Simplex
cites work: Tetrahedra equivalent to cubes by dissection
cites work: Two more tetrahedra equivalent to cubes by dissection
cites work: New rectifiable tetrahedra
cites work: Some special metrics in general topology
cites work: Fixing systems and inner illumination
cites work: Überdeckung einer Menge durch Mengen kleineren Durchmessers
cites work: Zerlegungsgleichheit und additive Polyeder funktionale
cites work: Zum Problem der Zerlegungsgleichheit der Polyeder
cites work: Ergänzungsgleichheit \(k\)-dimensionaler Polyeder

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cites work: Mittelpunktspolyeder und translative Zerlegungsgleichheit

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cites work: Lineare additive Polyederfunktionale und Zerlegungsgleichheit

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cites work: Über Gitter und Polyeder

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cites work: Zum Problem der Zerlegungsgleichheit \(k\)-dimensionaler Polyeder

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cites work: Zur Zerlegungstheorie euklidischer Polyeder

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cites work: Translative Zerlegungsgleichheit der Polyeder des gewöhnlichen Raumes.

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cites work: Überdeckung des Raumes durch translationsgleiche Punktmengen und Nachbarnzahl

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cites work: Beziehungen zwischen den Sätzen von Radon, Helly und Caratheodory bei axiomatischen Konvexitäten

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cites work: The Algebra of Polyhedra and the Dehn-Sydler Theorem.

Combinatorial geometry (cites work)
cites work: Q5678117

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cites work: Some Functional Equations in Groups and Rings.

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cites work: The algebra of polytopes in affine spaces.

Combinatorial geometry (cites work)
cites work: Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers

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cites work: The Number of Circles Covering a Set

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cites work: Some Unsolved Problems in Plane Geometry

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cites work: Q4765221

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cites work: Six and Seven Dimensional Non-Lattice Sphere Packings

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cites work: New sphere packings in dimensions 9-15

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cites work: Über fünf neue Tetraeder, die einem Würfel äquivalent sind

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cites work: Zur Zerlegung von Punktmengen in solche kleineren Durchmessers

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cites work: Q5807392

Combinatorial geometry (cites work)
cites work: Überdeckung eines Eibereiches durch Parallelverschiebung seines offenen Kerns

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cites work: Q5810636

Combinatorial geometry (cites work)
cites work: Inner illumination of convex polytopes

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cites work: Q3205837

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cites work: Q3854260

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cites work: Caratheodory theorems in convex product structures

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cites work: Über die dichteste gitterförmige Lagerung kongruenter Bereiche in der Ebene und eine besondere Art konvexer Kurven

Combinatorial geometry (cites work)
cites work: The closest packing of convex two-dimensional domains

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cites work: Caratheodory- and Helly-numbers of convex-product-structures

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cites work: A model of set-theory in which every set of reals is Lebesgue measurable

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cites work: Sur la décomposition des polyedres

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cites work: Sur les tétraèdres équivalents à un cube

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cites work: Sur quelques polyèdres équivalents obtenus par un procédé en chaînes

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cites work: Conditions necessaires et suffisantes pour l'équivalence des polyedres de l'espace euclidien à trois dimensions

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cites work: Q5641747

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cites work: Multiple lattice packings and coverings of spheres

Combinatorial geometry (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf01090178

Combinatorial geometry (OpenAlex ID)
OpenAlex ID: W4206231834