Open AccessA stable/unstable manifold theorem for local homeomorphisms of the plane
Author(s) -
Francisco R. Ruiz del Portal,
J. M. Gómez de Salazar
Publication year - 2004
Publication title -
ergodic theory and dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.571
H-Index - 61
eISSN - 1469-4417
pISSN - 0143-3857
DOI - 10.1017/s0143385704000367
Subject(s) - mathematics , manifold (fluid mechanics) , plane (geometry) , filtration (mathematics) , pure mathematics , fixed point theorem , fixed point , mathematical analysis , geometry , mechanical engineering , engineering
We use a notion (introduced in Topology 41 (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
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