Connected simple systems and the Conley index of isolated invariant sets

Author:

Salamon Dietmar

Abstract

The object of this paper is to present new and simplified proofs for most of the basic results in the index theory for flows. Simple, explicit formulae are derived for the maps which play a central role in the theory. The presentation is self-contained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. Die Grundlehren der mathematischen Wissenschaften, Band 161;Bhatia, N. P.,1970

2. American Mathematical Society Colloquium Publications, Vol. IX;Birkhoff, George D.,1966

3. CBMS Regional Conference Series in Mathematics;Conley, Charles,1978

4. C. C. Conley and R. Zehnder, Morse type index theory for flows and periodic solutions for Hamiltonian systems, Mathematics Research Center, University of Wisconsin-Madison, TSR #2567, 1983

5. Comm. Pure Appl. Math. 37 (1984).

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