On the length of cohomology spheres
Algebraic Topology
2020-07-28 v1
Abstract
We present the length, a numerical cohomological index theory, of -spaces which are cohomology spheres and is a -torus or a torus group, where is a prime. As a consequence, we obtain Borsuk-Ulam and Bourgin-Yang type theorems in this context. A sharper version of the Bourgin-Yang theorem for topological manifolds is also proved. Also, we give some general results regarding the upper and lower bound for the length.
Keywords
Cite
@article{arxiv.2007.12788,
title = {On the length of cohomology spheres},
author = {Denise de Mattos and Edivaldo Lopes dos Santos and Nelson Silva},
journal= {arXiv preprint arXiv:2007.12788},
year = {2020}
}