Abstract.
We prove that the homotopy groups of the oriented matroid Grassmannian MacP(k,n) are stable as n \rightarrow \infty , that \(\pi_1(\Delta {\rm MacP}(k,n)) \cong \pi_1 (G(k,{\Bbb R}^n))\) , and that there is a surjection \(\pi_2 (G(k,{\Bbb R}^n)) \rightarrow \pi_2(\Delta{\rm MacP}(k,n))\) .
Article PDF
Similar content being viewed by others
Use our pre-submission checklist
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received November 4, 1996, and in revised form April 22, 1997.
Rights and permissions
About this article
Cite this article
Anderson, L. Homotopy Groups of the Combinatorial Grassmannian. Discrete Comput Geom 20, 549–560 (1998). https://doi.org/10.1007/PL00009401
Issue Date:
DOI: https://doi.org/10.1007/PL00009401