Geodesic
Topological representations of matroids
Swartz, E.1
1Malott Hall, Cornell University, Ithaca, New York 14853
Journal of the American Mathematical Society, Tome 16 (2003) no. 2, pp. 427-442

Voir la notice de l'article provenant de la source American Mathematical Society

There is a one-to-one correspondence between geometric lattices and the intersection lattices of arrangements of homotopy spheres. When the arrangements are essential and fully partitioned, Zaslavsky’s enumeration of the cells of the arrangement still holds. Bounded subcomplexes of an arrangement of homotopy spheres correspond to minimal cellular resolutions of the dual matroid Steiner ideal. As a result, the Betti numbers of the ideal are computed and seen to be equivalent to Stanley’s formula in the special case of face ideals of independence complexes of matroids.
DOI : 10.1090/S0894-0347-02-00413-7

Swartz, E.  1

1 Malott Hall, Cornell University, Ithaca, New York 14853 
Swartz, E. Topological representations of matroids. Journal of the American Mathematical Society, Tome 16 (2003) no. 2, pp. 427-442. doi: 10.1090/S0894-0347-02-00413-7
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