Extension of isotopies in the plane

DOI10.1090/tran/7820zbMath1428.57010arXiv1808.05601OpenAlexW2949587595WikidataQ128369433 ScholiaQ128369433MaRDI QIDQ5234510

Logan C. Hoehn, Lex G. Oversteegen, Edward D. Tymchatyn

Publication date: 26 September 2019

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

Full work available at URL: https://arxiv.org/abs/1808.05601

zbMATH Keywords

extensionisotopyholomorphic motionplane

Mathematics Subject Classification ID

Continua and generalizations (54F15) Isotopy and pseudo-isotopy (57N37) Extension of maps (54C20) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (1)

Shortest paths in arbitrary plane domains

Cites Work

• On the propagation of holomorphic motions
• Extending isotopies of planar continua
• Centerlines of regions in the sphere
• Extending holomorphic motions
• Holomorphic families of injections
• Universal covering maps for variable regions
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• Curves von 2-manifolds and isotopies
• On the dynamics of rational maps
• COMPLETING ARTIN'S BRAID GROUP ON INFINITELY MANY STRANDS
• Holomorphic Motions and Related Topics
• Holomorphic Motions and Polynomial Hulls
• Skeletons and Central Sets
• Fixed Point Theorems for Plane Continua with Applications
• A canonical parameterization of paths in $\mathbb{R}^n$
• Equicontinuity and n-Length
• A special parameterization of curves
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