Homotopical Dynamics: Suspension and Duality
Abstract
Flow type suspension and homotopy suspension agree for attractor-repellor homotopy data.The connection maps associated in Conley index theory to an attractor-repellor decomposition with respect to the direct flow and its inverse are Spanier-Whitehead duals in the stably parallelizable context and are duals modulo a certain Thom construction in general.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- July 1999
- DOI:
- arXiv:
- arXiv:math/9907033
- Bibcode:
- 1999math......7033C
- Keywords:
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- Dynamical Systems;
- Algebraic Topology;
- Symplectic Geometry;
- 58F25;
- 55P25 (Primary) 57R70;
- 58F09 (Secondary)
- E-Print:
- to appear in Ergodic Theory and Dynamical Systems