Desingularization of surface maps

Erica Clay; Boris Hasselblatt; Enrique Pujals

doi:10.3934/era.2017.24.001

Article Contents

2017, Volume 24: 1-9. Doi: 10.3934/era.2017.24.001

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Desingularization of surface maps

1.
Department of Mathematics, Tufts University, Medford, MA 02155, USA
2.
IMPA, Estrada Dona Castorina 110, Rio de Janeiro, Brasil 22460-320

Received: November 14, 2016

Revised: January 10, 2017

Published: August 2017

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Abstract

We prove a result for maps of surfaces that illustrates how singularhyperbolic flows can be desingularized if a global section can be collapsed to a surface along stable leaves.

Keywords:

Singularization,
hyperbolicity.

Mathematics Subject Classification: Primary: 37D20; Secondary: 57N10.

Citation:

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Figure 1. The Geometric Lorenz Attractor (by Mattias Lindkvist, from ^[4])

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Figure 2. Singularization (from ^[1])

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