Equivariant path fields on topological manifolds

Details Equivariant path fields on topological manifolds Equivariant path fields on topological manifolds

2007-06-27

arxiv.org/abs/0706.4097v1

Topol. Methods Nonlinear Anal. 33 (2009), no. 1, 1--15

Mathematics

Algebraic Topology

17 pages, 6 figures

Scientific paper

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 $G$-manifolds where $G$ is a finite group.

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