Kupka-Smale theorem

Let M be a compact smooth manifoldMathworldPlanetmath, and let Diffk(M) denote the space of 𝒞k diffeomorphisms from M to itself. For every k, the set of Kupka-Smale diffeomorphisms is residual (http://planetmath.org/Residual) in the 𝒞k Whitney topology of Diffk(M).

Title Kupka-Smale theorem
Canonical name KupkaSmaleTheorem
Date of creation 2013-03-22 13:41:16
Last modified on 2013-03-22 13:41:16
Owner Koro (127)
Last modified by Koro (127)
Numerical id 7
Author Koro (127)
Entry type Theorem
Classification msc 37C20
Related topic KupkaSmale