On the VC-dimension of half-spaces with respect to convex sets by Nicolas Grelier, Saeed Gh. Ilchi, Tillmann Miltzow, Shakhar Smorodinsky

“…A family S of convex sets in the plane defines a hypergraph H = (S, E) as follows. …”
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(In)homogeneous invariant compact convex sets of probability measures by Natalia Mazurenko, Mykhailo Zarichnyi

“…A similar result is proved for the inhomogeneous  compact convex sets of probability measures of compact support.…”
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Minimal Total Area Convex Set Partitioning Problem by Stefan Pesko

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Triangulation Algorithm Based on Empty Convex Set Condition by Klyachin Vladimir Aleksandrovich

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On hyperspaces of max-plus and max-min convex sets by Bazylevych Lidiya, Zarichnyi Mykhailo

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Support and separation properties of convex sets in finite dimension by Valeriu Soltan

“…We first discuss classical Minkowski’s theorems on support and separation of convex bodies, and next describe various generalizations of these results to the case of arbitrary convex sets, which concern bounding and asymptotic hyperplanes, and various types of separation by hyperplanes, slabs, and complementary convex sets.…”
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On the Chvátal–Gomory closure of a compact convex set by Dadush, Daniel, Dey, Santanu S., Vielma Centeno, Juan Pablo

“…In this paper, we show that the Chvátal–Gomory closure of any compact convex set is a rational polytope. This resolves an open question of Schrijver (Ann Discret Math 9:291–296, 1980) for irrational polytopes, and generalizes the same result for the case of rational polytopes (Schrijver in Ann Discret Math 9:291–296, 1980), rational ellipsoids (Dey and Vielma in IPCO XIV, Lecture Notes in Computer Science, vol 6080. …”
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Reconstructing convex sets from support line measurements

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On the Chvátal–Gomory closure of a compact convex set by Dadush, Daniel, Dey, Santanu S., Vielma, Juan Pablo

“…In this paper, we show that the Chvátal–Gomory closure of any compact convex set is a rational polytope. This resolves an open question of Schrijver (Ann Discret Math 9:291–296, 1980) for irrational polytopes, and generalizes the same result for the case of rational polytopes (Schrijver in Ann Discret Math 9:291–296, 1980), rational ellipsoids (Dey and Vielma in IPCO XIV, Lecture Notes in Computer Science, vol 6080. …”
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TENSOR PRODUCTS OF COMPACT CONVEX-SETS AND BANACH ALGEBRAS by Batty, C

RELATIVE COMMUTANTS IN COMPACT CONVEX-SETS AND BANACH-SPACES by Batty, C

MAXIMAL MEASURES ON TENSOR-PRODUCTS OF COMPACT CONVEX-SETS by Batty, C

SOME PROPERTIES OF MAXIMAL MEASURES ON COMPACT CONVEX-SETS by Batty, C

CENTRAL MEASURES ON TENSOR-PRODUCTS OF COMPACT CONVEX-SETS by Batty, C

Join geometries : a theory of convex sets and linear geometry/ by Prenowitz, Walter, 1906-, Jantosciak, James

Connectedness of Unit Distance Subgraphs Induced by Closed Convex Sets by Remie Janssen, Leonie van Steijn

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The Demyanov metric and some other metrics in the family of convex sets by Rzeżuchowski Tadeusz

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The difference vectors for convex sets and a resolution of the geometry conjecture by Alwadani, Salihah, Bauschke, Heinz H., Revalski, Julian P., Wang, Xianfu

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Point Cloud Repair Method via Convex Set Theory by Tianzhen Dong, Yi Zhang, Mengying Li, Yuntao Bai

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Application of the Theory of Convex Sets for Engineering Structures with Uncertain Parameters by Jan Pełczyński

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