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We show that several matroidal versions of classic results can be generalized to selection structures. These include McGinnis' version of Komiya's KKMS theorem, Holmsen's version of Carathéodory's theorem, Kalai and Meshulam's version of Helly's theorem, and Sadovek's version of the Goodman--Pollack transversal theorem.
From: Pablo Soberón [view email]
[v1]
Mon, 15 Jun 2026 15:11:19 UTC (55 KB)
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