On Repeated Sequential Closures of Constructible Functions in Valuations

DOI10.1007/978-3-319-45282-1_1zbMath1372.52017arXiv1408.2637OpenAlexW2264956142MaRDI QIDQ5278283

Semyon Alesker

Publication date: 13 July 2017

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2637

zbMATH Keywords

space of constructible functionsspace of generalized valuations

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (1)

Weak$^*$ closures and derived sets for convex sets in dual Banach spaces

Cites Work

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• Valuations on manifolds and integral geometry
• Theory of valuations on manifolds. II
• Theory of valuations on manifolds. I: Linear spaces
• Theory of valuations on manifolds: A survey
• Continuity of the fundamental operations on distributions having a specified wave front set (with a counterexample by Semyon Alesker)
• The product on smooth and generalized valuations
• Curvature Measures of Subanalytic Sets
• Quasi-conformal maps and the asymptotic geometry of manifolds
• Theory of Valuations on Manifolds, IV. New Properties of the Multiplicative Structure
• Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture

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