Intersection Pairings on Conley Indices is popular PDF and ePub book, written by Henry L. Kurland in 1996, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Intersection Pairings on Conley Indices can be Read Online from any device for your convenience.
Intersection Pairings on Conley Indices Book PDF Summary
This memoir is a careful and detailed study of the intersection pairing in the Conley index. The Conley index associates to an isolated invariant set of a semiflow (with some mild compactness conditions) a homotopy type of a space, constructed to be invariant under perturbations of the flow. The homology of this space is the homology Conley index. For a (two-sided) flow, each isolated invariant set has two indices defined: one for the forward flow, and one for the reverse. In general, there is no relationship between these two indices, but when the flow is on an orientable manifold, the two indices can be related by an intersection pairing. It is this pairing that receives a careful and detailed study in this memoir. Results are then applied to the motivating example of the work: the existence of transition layer behavior for two-point boundary value problems of singularly perturbed systems.
Detail Book of Intersection Pairings on Conley Indices PDF
- Author : Henry L. Kurland
- Release : 29 September 1996
- Publisher : American Mathematical Soc.
- ISBN : 9780821804407
- Genre : Mathematics
- Total Page : 199 pages
- Language : English
- PDF File Size : 15,8 Mb
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