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Open access 2023

Extreme Points of Convex Sets

<jats:p> Given a nonempty set <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">E \subset {\mathbb{R}}^n</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">...

V. Soltan · 1 citation
Open access 2015

Convex Hypersurfaces with Hyperplanar Intersections of Their Homothetic Copies

<jats:p> Extending a well-known characteristic property of ellipsoids, we describe all convex solids <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">K \subset \mathbb{R}^n</jats:tex-math>...

V. Soltan · 4 citations
Open access 2026

Approximation of Convex Sets by Homothetic Copies of Polyhedra

<jats:p> We characterize the closed convex sets <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">K \subset \mathbb{R}^n</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/...

V. Soltan · 0 citations

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