Homology and dynamical systems
著者
書誌事項
Homology and dynamical systems
(Regional conference series in mathematics, no. 49)
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1982
- : pbk
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注記
Reprinted with corrections, 1989
"Expository lectures from the CBMS regional conference held at Emory University, August 18-22, 1980"--Verso t.p
Bibliography: p. 117-120
内容説明・目次
内容説明
Presents research on the connections between dynamics and topology, treating the fundamental problem - what dynamics can occur in a prescribed homological setting - via algebraic chain complexes derived from the unstable manifold decomposition of dynamics.
目次
- Hyperbolic chain recurrent sets Morse gradients Symbolic dynamics for basic sets Smale diffeomorphisms Zeta functions Morse inequalities Morse-Smale diffeomorphisms Morse-Smale flows Smale flows Flows on $S^3$ Beyond the theme
- Appendix A. Subshifts as basic sets
- Appendix B. Constructing fitted diffeomorphisms References.
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