Tame Flows (Memoirs of the American Mathematical Society)
Tame Flows (Memoirs of the American Mathematical Society) by Liviu I. Nicolaescu
English | 2010 | ISBN: 0821848704 | 130 Pages | PDF | 1.35 MB
English | 2010 | ISBN: 0821848704 | 130 Pages | PDF | 1.35 MB
The tame flows are ""nice"" flows on ""nice"" spaces. The nice (tame) sets are the pfaffian sets introduced by Khovanski, and a flow \Phi: \mathbb{R}\times X\rightarrow X on pfaffian set X is tame if the graph of \Phi is a pfaffian subset of \mathbb{R}\times X\times X. Any compact tame set admits plenty tame flows. The author proves that the flow determined by the gradient of a generic real analytic function with respect to a generic real analytic metric is tame.