分野別セミナー

The van Kampen-Flores theorem states that the d-skeleton of a (2d+2)-simplex does not embed into R^{2d}. We prove the van Kampen-Flores theorem for triangulations of manifolds satisfying a certain condition on their Stiefel-Whitney classes. In particular, we show that the d-skeleton of a triangulation of a (2d+1)-manifold with non-trivial total Stiefel-Whitney class does not embed into R^{2d}.
This is a joint work with Daisuke Kishimoto.