An Euler relation for valuations on polytopes
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Publication:1960917
DOI10.1006/aima.1999.1831zbMath0944.52007OpenAlexW2148061832MaRDI QIDQ1960917
Publication date: 11 September 2000
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/1760d071389afd9d487899d552b7798cb256a9bc
volumemeasuresEuler characteristicsurface areavaluationorder idealsfree polytope inversion identityinduced valuationsMöbius inversion identitiespolytope valuationsvisible decomposition of boundary
Related Items (8)
On empty convex polygons in a planar point set ⋮ On weighted sums of numbers of convex polygons in point sets ⋮ Expected rank in antimatroids ⋮ Local topology of the free complex of a two-dimensional generalized convex shelling ⋮ The max-flow min-cut property of two-dimensional affine convex geometries ⋮ Crofton measures and Minkowski valuations ⋮ Integral geometry of unitary area measures ⋮ $\mathrm{GL}(n)$ contravariant Minkowski valuations
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