Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-07T22:28:16.677Z Has data issue: false hasContentIssue false
  • English
  • Français

A stable/unstable manifold theorem for local homeomorphisms of the plane

Published online by Cambridge University Press:  22 December 2004

FRANCISCO R. RUIZ DEL PORTAL  and
JOSÉ M. SALAZAR
FRANCISCO R. RUIZ DEL PORTAL
Affiliation:
Departamento de Geometría y Topología, Facultad de CC. Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain (e-mail: [email protected])
JOSÉ M. SALAZAR
Affiliation:
Departamento de Matemáticas, Universidad de Alcalá, Alcalá de Henares, Madrid 28871, Spain (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We use a notion (introduced in Topology41 (2002), 1119–1212), which is stronger than the concept of filtration pair, to prove a stable/unstable manifold general theorem for local homeomorphisms of the plane in a neighborhood of an isolated fixed point.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 1 , February 2005 , pp. 301 - 317
Copyright
2004 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)