Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders

DOI10.1007/BF01090678zbMath0766.20005MaRDI QIDQ1814352

Mikhail Kapranov, Vladimir Voevodsky

Publication date: 25 June 1992

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Yang-Baxter equationorbitsymmetric grouphigher Bruhat ordersconvex hullpartially ordered setsweak Bruhat ordermaximal chains\(n\)-category\(n\)-dimensional cubes

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Representations of finite symmetric groups (20C30) Algebraic aspects of posets (06A11) Ordered groups (06F15) Symmetric groups (20B30)

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Cites Work

• The algebra of oriented simplexes
• Vector variant of the Adamyan-Arov-Krein theorem
• ABSTRACT HOMOTOPY