Determination of compact Lie groups with the Borsuk-Ulam property
Algebraic Topology
2021-07-29 v1
Abstract
In this paper, we shall discuss the classical question of which compact Lie groups have the Borsuk-Ulam property and in particular we shall show that every extension group of a n-torus by a cyclic group of prime order does not have the Borsuk-Ulam property. This leads us that the only compact Lie groups with the Borsuk-Ulam property are an elementary abelian p-group and an n-torus, which is a final answer to the question.
Keywords
Cite
@article{arxiv.2107.13158,
title = {Determination of compact Lie groups with the Borsuk-Ulam property},
author = {Ikumitsu Nagasaki},
journal= {arXiv preprint arXiv:2107.13158},
year = {2021}
}