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An index for Brouwer homeomorphisms and homotopy Brouwer theory
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We use the homotopy Brouwer theory of Handel to define a Poincaré index between pairs of orbits for an orientation-preserving fixed-point-free homeomorphism of the plane. Furthermore, we prove that this index is almost additive.
Title: An index for Brouwer homeomorphisms and homotopy Brouwer theory
Description:
We use the homotopy Brouwer theory of Handel to define a Poincaré index between pairs of 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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