In an influential 1970 paper, Gerard Debreu used this theorem to show that economic equilibria are not generally unique but locally unique, and it was applied to game theory by Kreps and Wilson in 1982.
In an influential 1970 paper, Gerard Debreu used this theorem to show that economic equilibria are not generally unique but locally unique, and it was applied to game theory by Kreps and Wilson in 1982. Steven Smale generalized it to the infinite-dimensional case by introducing mappings of Banach manifolds. It holds that a smooth surjection between Euclidean spaces must be a submersion and posits that images of the set of critical points have Lebesgue measure zero. FTP, name this theorem ►from differential topology sometimes also named for Morse. 
In an influential 1970 paper, Gerard Debreu used this theorem to show that economic equilibria are not generally unique but locally unique, and it was applied to game theory by Kreps and Wilson in 1982.
Sard's Theorem/Lemma (or Morse-Sard theorem)