Morse homology were developed during the rst half of the twentieth century. The underlying idea and various in nite dimensional versions, such as Floer homology, continue to be of interest to researchers in mathematics and theoretical physics today. In the rst chapter of this thesis, we brie y describe the nite dimensional Morse theory and its cellular singular homology . Our main focuses are stable/ unstable manifolds, the associated CW-complex. Suppose M is a smooth compact nite...[Show more]
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