Coordinate free morse theory
Copyright policy )Coordinate free morse theory
It is shown that the assignment of a cell-complex to a Morse function on a compact smooth manifold can be achieved uniquely up to a contractible space of parameters and continuously in an appropriate sense with respect to these parameters among which being the Riemannian metrics on the manifold.
Critical points and critical submanifolds in differential topology, Riemannian manifold, homotopy equivalence, cell-complex, Morse function, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces
Critical points and critical submanifolds in differential topology, Riemannian manifold, homotopy equivalence, cell-complex, Morse function, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces
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