Classifying Spaces of Moduli Spaces of Morse Smale Flows
Pawel Felcyn
Broschiertes Buch

Classifying Spaces of Moduli Spaces of Morse Smale Flows

Topological Conjugacy between Morse Smale Flows and Projective Flows

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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...