Prime end rotation numbers of invariant separating continua of annular homeomorphisms

DOI10.1090/S0002-9939-2011-11435-7zbMath1255.37018arXiv1011.3176OpenAlexW2962880912MaRDI QIDQ2880643

Shigenori Matsumoto

Publication date: 13 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3176

zbMATH Keywords

continuumrotation setfoliationsBrower lineprime end rotation number

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)

Related Items (8)

Forcing theory for transverse trajectories of surface homeomorphisms ⋮ Existence of torsion-low maximal isotopies for area preserving surface homeomorphisms ⋮ Rotation intervals and entropy on attracting annular continua ⋮ Realizing rotation numbers on annular continua ⋮ Non‐realizability of the Torelli group as area‐preserving homeomorphisms ⋮ Non-realizability of the pure braid group as area-preserving homeomorphisms ⋮ AN ELEMENTARY PROOF OF A THEOREM BY MATSUMOTO ⋮ Accessible points rotate as prime ends in backward or forward time

Cites Work

• Continua as minimal sets of homeomorphisms of \(S^2\)
• An equivariant foliated version of Brouwer's translation theorem
• Existence d'orbites quasi-périodiques dans les attracteurs de Birkhoff. (Existence of quasiperiodic orbits in Birkhoff attractors)
• Recurrence and fixed points of surface homeomorphisms
• Propriétés des attracteurs de Birkhoff
• Prime Ends
• Rotation and periodicity in plane separating continua
• Regions of instability for non-twist maps
• Sur quelques propriétés des courbes de M. Birkhoff
• Some fixed point theorems

This page was built for publication: Prime end rotation numbers of invariant separating continua of annular homeomorphisms