Sard’s theorem for mappings between Fréchet manifolds
Tóm tắt
We prove an infinite-dimensional version of Sard’s theorem for Fréchet manifolds. Let M (respectively, N) be a bounded Fréchet manifold with compatible metric d
M
(respectively, d
N
) modeled on Fréchet spaces E (respectively, F) with standard metrics. Let f : M → N be an MC
k
-Lipschitz–Fredholm map with k > max{Ind f, 0}: Then the set of regular values of f is residual in N.
Tài liệu tham khảo
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