Tame flows
Author(s)
Bibliographic Information
Tame flows
（Memoirs of the American Mathematical Society, no. 980）
American Mathematical Society, c2010
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Note
"November 2010, volume 208, number 980 (fifth of 6 numbers)."
Includes bibliographical references (p. 127-128) and index
Description and Table of Contents
Description
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.
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