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Homotopical dynamics: suspension and duality

Published online by Cambridge University Press:  01 April 2000

OCTAVIAN CORNEA
OCTAVIAN CORNEA
Affiliation:
Université de Lille 1, U.F.R. de Mathématiques & U.R.A. 751 au CNRS, 59655 Villeneuve D'Ascq, France (e-mail: cornea@gat.univ-lille1.fr)
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 2 , April 2000 , pp. 379 - 391
Copyright
© 2000 Cambridge University Press

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