TRANSVERSALS OF FAMILIES OF SETS IN $ \mathbb{R}^n$ AND A CONNECTION BETWEEN THE HELLY AND BORSUK THEOREMS

DOI10.1070/SM1994v079n01ABEH003491zbMath0818.52006OpenAlexW2087276338WikidataQ126076357 ScholiaQ126076357MaRDI QIDQ4319696

Vladimir L. Dol'nikov

Publication date: 20 February 1995

Published in: Russian Academy of Sciences. Sbornik Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1994v079n01abeh003491

zbMATH Keywords

convex setstransversalscombinatorial geometryHelly's theoremBorsuk's theorem

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Other problems of combinatorial convexity (52A37) Helly-type theorems and geometric transversal theory (52A35) Combinatorial aspects of packing and covering (05B40)

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