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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Format PDF ● Pages 130 ● ISBN 9781470405946 ● Publisher American Mathematical Society ● Downloadable 3 times ● Currency EUR ● ID 6597468 ● Copy protection Adobe DRM
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