Hadwiger's theorem for definable functions

DOI10.1016/j.aim.2013.07.001zbMath1286.52006arXiv1203.6120OpenAlexW2012113345MaRDI QIDQ2437487

Yanyan Li

Publication date: 3 March 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6120

zbMATH Keywords

Euler characteristicvaluationsintrinsic volumesHadwiger measure

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (16)

Valuations on the Space of Quasi-Concave Functions ⋮ Real-valued valuations on Sobolev spaces ⋮ Fourier transform and valuations ⋮ Intrinsic volumes of random cubical complexes ⋮ Laplace transforms and valuations ⋮ Translation invariant valuations on quasi-concave functions ⋮ A homogeneous decomposition theorem for valuations on convex functions ⋮ Geometric valuation theory ⋮ Minkowski valuations on convex functions ⋮ Monge-Ampère operators and valuations ⋮ Volume, polar volume and Euler characteristic for convex functions ⋮ Invariant Valuations on Super-Coercive Convex Functions ⋮ \(\mathrm{SL}(n)\) covariant vector-valued valuations on \(L^p\)-spaces ⋮ Hessian valuations ⋮ Monotone valuations on the space of convex functions ⋮ Valuations on log-concave functions

Cites Work

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• On the normal cycles of subanalytic sets
• Valuations on manifolds and integral geometry
• Topological complexity of smooth random functions. École d'Été de Probabilités de Saint-Flour XXXIX-2009.
• Integralsätze im Konvexring
• Operations on constructible functions
• Geometry of subanalytic and semialgebraic sets
• On the curvature of piecewise flat spaces
• Theory of valuations on manifolds: A survey
• EULER INTEGRATION OF GAUSSIAN RANDOM FIELDS AND PERSISTENT HOMOLOGY
• Algebraic Integral Geometry
• Euler integration over definable functions
• Integration with respect to the Euler characteristic and its applications
• Valuations on function spaces
• Euler–Bessel and Euler–Fourier transforms
• Target Enumeration via Euler Characteristic Integrals
• Curvature Measures of Subanalytic Sets
• A short proof of Hadwiger's characterization theorem

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