Mod 2 cohomology of combinatorial Grassmannians

@article{Anderson1999Mod2C,
  title={Mod 2 cohomology of combinatorial Grassmannians},
  author={L. Anderson and J. Davis},
  journal={Selecta Mathematica},
  year={1999},
  volume={8},
  pages={161-200}
}
Abstract. Matroid bundles, introduced by MacPherson, are combinatorial analogues of real vector bundles. This paper sets up the foundations of matroid bundles. It defines a natural transformation from isomorphism classes of real vector bundles to isomorphism classes of matroid bundles. It then gives a transformation from matroid bundles to spherical quasifibrations, by showing that the geometric realization of a matroid bundle is a spherical quasifibration. The poset of oriented matroids of a… Expand

Figures from this paper

Matroid Bundles
Topological representations of matroid maps
Grassmannians and Pseudosphere Arrangements
The homotopy type of the matroid Grassmannian
Foundations for a Theory of Complex Matroids
Homotopy Sphere Representations for Matroids
Hyperfield Grassmannians.
...
1
2
...

References

SHOWING 1-10 OF 48 REFERENCES
Matroid Bundles
Extension spaces of oriented matroids
Combinatorial models for the finite-dimensional Grassmannians
Two constructions of oriented matroids with disconnected extension space
Homotopy Groups of the Combinatorial Grassmannian
  • L. Anderson
  • Computer Science, Mathematics
  • Discret. Comput. Geom.
  • 1998
There Is No Tame Triangulation of the Infinite Real Grassmannian
Representing Weak Maps of Oriented Matroids
  • L. Anderson
  • Computer Science, Mathematics
  • Eur. J. Comb.
  • 2001
...
1
2
3
4
5
...