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Markov Cell Structures Near a Hyperbolic Set (Memoirs of the American Mathematical...

Home > Mathematics Books > Hyperbolics > Item 132

	Markov Cell Structures Near a Hyperbolic Set (Memoirs of the American Mathematical...
	by F. Thomas Farrell and Lowell Jones	List Price: ~~$34.00~~ $34.00 At Amazon on 12-6-2008

Hardcover: 138 pages Publisher: Amer Mathematical Society May 1993 Language: English ISBN-10: 0821825534 ISBN-13: 978-0821825532 Product Dimensions: 10 x 7.1 x 0.3 inches Shipping Weight: 9.6 ounces *Product Description* Let $F:M\rightarrow M$ denote a self-diffeomorphism of the smooth manifold $M$ and let $\Lambda \subset M$ denote a hyperbolic set for $F$. Roughly speaking, a Markov cell structure for $F:M\rightarrow M$ near $\Lambda$ is a finite cell structure $C$ for a neighborhood of $\Lambda$ in $M$ such that, for each cell $e \in C$, the image under $F$ of the unstable factor of $e$ is equal to the union of the unstable factors of a subset of $C$, and the image of the stable factor of $e$ under $F^{-1}$ is equal to the union of the stable factors of a subset of $C$. The main result of this work is that for some positive integer $q$, the diffeomorphism $F^q:M\rightarrow M$ has a Markov cell structure near $\Lambda$. A list of open problems related to Markov cell structures and hyperbolic sets can be found in the final section of the book.
Markov Cell Structures Near a Hyperbolic Set (Memoirs of the American Mathematical... Available from Amazon Price: $34.00 Updated on 12-6-2008

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