Kinematic formulas for finite lattices

DOI10.1007/BF02558486zbMath0926.05003MaRDI QIDQ1293466

Daniel A. Klain

Publication date: 29 November 1999

Published in: Annals of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Möbius functionsinvariantlatticesvaluationWhitney numberskinematic formulas

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (2)

An Euler relation for valuations on polytopes ⋮ A kinematic formula for integral invariant of degree 4 in real space form

Cites Work

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• \(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position
• Translative and kinematic integral formulae concerning the convex hull operation
• Kinematic formulas for finite vector spaces
• Non-linear angle-sum relations for polyhedral cones and polytopes
• Partitions Into Chains of a Class of Partially Ordered Sets
• Combinatorial Structure of the Faces of then-Cube
• Dual kinematic formulas
• The kinematic formula in Riemannian homogeneous spaces
• A short proof of Hadwiger's characterization theorem
• On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• On the Kinematic Formula in the Euclidean Space of N Dimensions

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