Foundations of a theory of convexity on affine Grassmann manifolds

DOI10.1112/S0025579300014613zbMath0835.52002OpenAlexW2122893245WikidataQ56815622 ScholiaQ56815622MaRDI QIDQ4862919

Richard Pollack, Jacob E. Goodman

Publication date: 4 February 1996

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300014613

zbMATH Keywords

Grassmann manifoldconvexity structuretransversal flats

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01)

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Cites Work

• Unnamed Item
• Great circle fibrations of the three-sphere
• Piercing convex sets and the Hadwiger-Debrunner \((p,q)\)-problem
• Common tangents and common transversals
• Bounding the piercing number
• Maximal convex sets
• Schubert Calculus
• The structure of semispaces
• Hadwiger's Transversal Theorem In Higher Dimensions