Abstract
We prove here that if x ∞is a critical point at infinity of index io + i ∞larger than or equal to 3, then the sequence of Morse indices of its iterates is strictly increasing, allowing us to focus on exactly one iterate in order to fulfill the conditions which warrant that our homology is well defined. Namely, letx∞kbe the iterate of x∞of order k. The Ho1-index ofx∞kis clearlykio We denotei∞kthe index at infinity ofx∞kWe then have the following result.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this chapter
Cite this chapter
Bahri, A. (2003). Removing Condition (A6). In: Flow Lines and Algebraic Invariants in Contact Form Geometry. Progress in Nonlinear Differential Equations and Their Applications, vol 53. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0021-5_15
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0021-5_15
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6576-4
Online ISBN: 978-1-4612-0021-5
eBook Packages: Springer Book Archive