Quotient star bodies, intersection bodies, and star duality

DOI10.1006/jmaa.1998.6238zbMath0928.54007OpenAlexW2023398045MaRDI QIDQ1284508

Maria Moszyńska

Publication date: 16 August 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8ec7e69bd0c94ab09eca108d50580504511f3261

zbMATH Keywords

classification problemstar mapsquotient spacesconvex quotient bodiesintersection bodies of star bodiesmetric counterpartsradial quotient star bodies

Mathematics Subject Classification ID

Quotient spaces, decompositions in general topology (54B15) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (16)

On intersection and mixed intersection bodies ⋮ \(L_p\)-mixed intersection bodies and star duality ⋮ \(q\)-dual mixed volumes and \(L_{p}\)-intersection bodies ⋮ Renormalization of potentials and generalized centers ⋮ A characterization of the star duality mapping ⋮ Reciprocals and Flowers in Convexity ⋮ Starshaped sets ⋮ The polar Orlicz-Brunn-Minkowski inequalities ⋮ Brunn-Minkowski inequalities for star duals of intersection bodies and two additions ⋮ On star duality of mixed intersection bodies ⋮ On mixed complex intersection bodies ⋮ \(L_{p}\)-Brunn-Minkowski inequality ⋮ Affine isoperimetric inequalities for \(L_p\)-intersection bodies ⋮ Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms ⋮ Dual Orlicz mixed geominimal surface area ⋮ \(L_{p}\)-mixed intersection bodies

Cites Work

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• Intersection bodies and dual mixed volumes
• Lipschitz inverse and direct sequences
• Tomography of convex and star bodies
• Duality of convex bodies
• On Metric Inverse Limits
• On metric products

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