There is no tame triangulation of the infinite real Grassmannian

Details There is no tame triangulation of the infinite real Grassmannian There is no tame triangulation of the infinite real Grassmannian

2000-04-27

arxiv.org/abs/math/0004176v1

Mathematics

Geometric Topology

11 pages

Scientific paper

We show that there is no triangulation of the infinite real Grassmannian of k-planes in R^\infty which is nicely situated with respect to the coordinate axes. In terms of matroid theory, this says there is no triangulation of the Grassmannian subdividing the matroid stratification. This is proved by an argument in projective geometry, considering a specific sequence of configurations of points in the plane.

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