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An index for Brouwer homeomorphisms and homotopy Brouwer theory

Abstract : We use the homotopy Brouwer theory of Handel to define a Poincaré index between two orbits for an orientation preserving fixed point free homeomorphism of the plane. Furthermore, we prove that this index is almost additive.
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https://hal.inria.fr/hal-00926770
Contributor : Frédéric Le Roux <>
Submitted on : Wednesday, September 23, 2015 - 6:18:52 PM
Last modification on : Wednesday, December 9, 2020 - 3:17:09 PM
Long-term archiving on: : Tuesday, December 29, 2015 - 9:41:20 AM

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Index-Brouwer-final-ETDS.pdf
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  • HAL Id : hal-00926770, version 3
  • ARXIV : 1401.2333

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Frédéric Le Roux. An index for Brouwer homeomorphisms and homotopy Brouwer theory. 2015. ⟨hal-00926770v3⟩

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