Recent content by TheHup

Thanks for the help. For 1) would it be correct to say that d(h o f) = dh o df. df is non-singular as y is a regular value and as dh is an isomorphism of tangent spaces when it is applied to df it remains non-singular. (This maybe makes no sense at all linear algebra has always been a...

Homework Statement 1) If f:M -> N, where M is a compact and boundaryless manifold, N is a connected manifold has regular values y and z. And h:N -> N is a diffeomorphism which is smoothly isoptopic to the identity and carries y to z, then why is z a regular value of the composition h o f...