ENGLISH

Tame flows

By Liviu I. Nicolaescu

Book information

Publisher
Amer Mathematical Society
Year
2010
ISBN
0821848704, 978-0-8218-4870-8
Language
english
Format
PDF
Filesize
1 MB (1417959 bytes)
Series
Memoirs of the American Mathematical Society 0980
Pages
145\145
Library
kolxoz
Time added
2015-12-12 14:00:00

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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