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Sep. 24th, 2007 07:47 pmDr. Chen showed me a neat theorem! :)
If I have a smooth (infinitely differentiable) function,
then I can extend it to
such that
This theorem was stated implicitly in Topology from the Differentiable Viewpoint (as part of a proof that f: M -> N with M a manifold with boundary produces submanifolds of M transversal to the boundary when you take f-1(n), n ∈ N, if n is regular for M and ∂M), and I have been running around asking professors if they knew the proof of it.
wheeee
If I have a smooth (infinitely differentiable) function,
This theorem was stated implicitly in Topology from the Differentiable Viewpoint (as part of a proof that f: M -> N with M a manifold with boundary produces submanifolds of M transversal to the boundary when you take f-1(n), n ∈ N, if n is regular for M and ∂M), and I have been running around asking professors if they knew the proof of it.
wheeee
