On the topology of no $k$-equal spaces
Combinatorics
2017-08-02 v1 Algebraic Topology
Abstract
We consider the topology of real no -equal spaces via the theory of cellular spanning trees. Our main theorem proves that the rank of the -dimensional homology of the no -equal subspace of is equal to the number of facets in a -dimensional spanning tree of the -skeleton of the -dimensional hypercube.
Keywords
Cite
@article{arxiv.1708.00032,
title = {On the topology of no $k$-equal spaces},
author = {Yuliy Baryshnikov and Caroline Klivans and Nicholas Kosar},
journal= {arXiv preprint arXiv:1708.00032},
year = {2017}
}