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Classifying Spaces of Moduli Spaces of Morse Smale Flows

 

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  • Product Description
 

Classifying spaces of groups were introduced by Milnor in his study of fibrations. Segal has generalized Milnor''s construction to define the classifying spaces of topological categories. Motivated by the Floer Theory (in which one studies the moduli spaces of pseudo-holomorphic strips) Cohen, Jones, and Segal have studied a topological category of a Morse Smale flow on compact manifold whose objects are stationary points of the flow and whose morphism are moduli spaces of flow-lines. They proved that the classifying space of the topological category of a Morse Smale flow is homeomorphic to the underlying manifold. In this work we study classifying spaces and moduli spaces of Morse Smale flows from dynamical systems point of view. In particular, we improve the Cohen, Jones, and Segal Theorem by showing that the Morse Smale flow on the manifold is topologically conjugate to a natural projective flow on the classifying space. This work will be of interest to everyone studying or doing research in dynamical systems, geometry, and topology or related areas.

Product Specifications
SKU :COC31883
AuthorPawel Felcyn
LanguageEnglish
BindingPaperback
Number of Pages116
Publishing Year9/14/2010
ISBN978-3838329048
Edition1 st
Book TypeGeometry
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-29 00:00:00