Local topology of the free complex of a two-dimensional generalized convex shelling

DOI10.1016/j.disc.2007.07.078zbMath1153.52001OpenAlexW2025147597MaRDI QIDQ932635

Yoshio Okamoto

Publication date: 11 July 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.07.078

zbMATH Keywords

discrete geometrytopological combinatoricsabstract convex geometry

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Convex sets in (2) dimensions (including convex curves) (52A10) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (1)

The affine representation theorem for abstract convex geometries

Cites Work

• The affine representation theorem for abstract convex geometries
• On rigid circuit graphs
• Extreme point axioms for closure spaces
• The theory of convex geometries
• Convex, acyclic, and free sets of an oriented matroid
• Convexity and the beta invariant
• An Euler relation for valuations on polytopes
• Counting the interior points of a point configuration
• Matroid representation of clique complexes
• The max-flow min-cut property of two-dimensional affine convex geometries
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler

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