Homotopical Dynamics: Suspension and Duality
Dynamical Systems
2007-05-23 v1 Algebraic Topology
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.math/9907033,
title = {Homotopical Dynamics: Suspension and Duality},
author = {Octavian Cornea},
journal= {arXiv preprint arXiv:math/9907033},
year = {2007}
}
Comments
to appear in Ergodic Theory and Dynamical Systems