Topological representations of matroids

DOI10.1090/S0894-0347-02-00413-7zbMath1007.05040arXivmath/0208157MaRDI QIDQ4794627

Ed Swartz

Publication date: 19 February 2003

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208157

zbMATH Keywords

homotopy spherematroidgeometric latticeminimal cellular resolution

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of matroids and geometric lattices (05B35) Syzygies, resolutions, complexes and commutative rings (13D02) Oriented matroids in discrete geometry (52C40)

Related Items

The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces ⋮ Homotopy sphere representations for matroids ⋮ Topological representations of matroid maps ⋮ Combinatorial derived matroids ⋮ Steiner systems and configurations of points ⋮ Enumeration in convex geometries and associated polytopal subdivisions of spheres ⋮ Arrangements of symmetric products of spaces ⋮ The affine representation theorem for abstract convex geometries ⋮ Face numbers of Engström representations of matroids

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