Equivariant path fields on topological manifolds
Algebraic Topology
2011-05-11 v1
Abstract
A classical theorem of H. Hopf asserts that a closed connected smooth manifold admits a nowhere vanishing vector field if and only if its Euler characteristic is zero. R. Brown generalized Hopf's result to topological manifolds, replacing vector fields with path fields. In this note, we give an equivariant analog of Brown's theorem for locally smooth -manifolds where is a finite group.
Cite
@article{arxiv.0706.4097,
title = {Equivariant path fields on topological manifolds},
author = {Lucilia Borsari and Fernanda Cardona and Peter Wong},
journal= {arXiv preprint arXiv:0706.4097},
year = {2011}
}