Equivariant path fields on topological manifolds
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Equivariant Euler characteristic, equivariant path fields, locally smooth G-manifoldsAbstrakt
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.Pobrania
Opublikowane
2009-03-01
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1.
BORSARI, Lucilía D., CARDONA, Fernanda S. P. & WONG, Peter. Equivariant path fields on topological manifolds. Topological Methods in Nonlinear Analysis [online]. 1 marzec 2009, T. 33, nr 1, s. 1–15. [udostępniono 22.7.2024].
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