English

On van Kampen-Flores, Conway-Gordon-Sachs and Radon theorems

Geometric Topology 2022-01-19 v2 Computational Geometry Algebraic Topology

Abstract

We exhibit relations between van Kampen-Flores, Conway-Gordon-Sachs and Radon theorems, by presenting direct proofs of some implications between them. The key idea is an interesting relation between the van Kampen and the Conway-Gordon-Sachs numbers for restrictions of a map of (d+2)(d+2)-simplex to Rd\mathbb R^d to the (d+1)(d+1)-face and to the [d/2][d/2]-skeleton.

Keywords

Cite

@article{arxiv.1704.00300,
  title  = {On van Kampen-Flores, Conway-Gordon-Sachs and Radon theorems},
  author = {A. Skopenkov},
  journal= {arXiv preprint arXiv:1704.00300},
  year   = {2022}
}

Comments

The paper is subsumed by the submitted replacement of arXiv:1605.05141