Extending isotopies of planar continua
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Publication:624928
DOI10.4007/annals.2010.172.2105zbMath1221.57035arXiv0811.0364OpenAlexW1985707476MaRDI QIDQ624928
Edward D. Tymchatyn, Lex G. Oversteegen
Publication date: 11 February 2011
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.0364
extensionisotopyholomorphic motionaccessible pointhyperbolic crosscutmetric external rayplanar continuum
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Related Items (12)
Fixed point theorem for non-self maps of regions in the plane ⋮ An extended Fatou-Shishikura inequality and wandering branch continua for polynomials ⋮ Prime ends dynamics in parametrised families of rotational attractors ⋮ Characterizing isotopic continua in the sphere ⋮ Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries ⋮ A stronger form of countable dense homogeneity of the plane ⋮ Quasicircles and the conformal group ⋮ Quasicircles and the conformal group ⋮ On finite-dimensional global attractors of homeomorphisms ⋮ Fixed Point Theorems for Plane Continua with Applications ⋮ Centerlines of regions in the sphere ⋮ Extension of isotopies in the plane
Cites Work
- Centerlines of regions in the sphere
- Extending holomorphic motions
- Holomorphic families of injections
- A canonical metric for Möbius structures and its applications
- Curves von 2-manifolds and isotopies
- Deformations of spaces of imbeddings
- On the dynamics of rational maps
- COMPLETING ARTIN'S BRAID GROUP ON INFINITELY MANY STRANDS
- Some typical properties of the dynamics of rational maps
- Holomorphic Motions and Polynomial Hulls
- A fixed point theorem for branched covering maps of the plane
- On Fixed Point Properties of Plane Continua
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