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Tame Flows Liviu I Nicolaescu

Tame Flows

Liviu I Nicolaescu

Published October 23rd 2010
ISBN : 9780821848708
Paperback
130 pages
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 About the Book 

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 $/MoreThe 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.