\(C^1\)-minimal subsets of the circle

DOI10.5802/aif.822zbMath0439.58020OpenAlexW2335146410MaRDI QIDQ1142478

Dusa McDuff

Publication date: 1981

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1981__31_1_177_0

zbMATH Keywords

minimal setsdiffeomorphisms of the circle of class C1

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items

Examples of minimal set for IFSs, Diffeomorphism groups of tame Cantor sets and Thompson-like groups, The Cantor set as an \(\omega\)-limit set for iterations of a smooth function on a segment, Integrability of moduli and regularity of Denjoy counterexamples, Attractors of sequences of iterated function systems, About \(C^{1}\)-minimality of the hyperbolic Cantor sets, Denjoy \(C^1\) diffeomorphisms of the circle and McDuff's question, Regular interval Cantor sets of \(S ^{1}\) and minimality, Local dendrite maps without periodic points, Hausdorff dimension in graph matchbox manifolds, Dynamics of multicritical circle maps

Cites Work

• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Homeomorphisms of the Circle Without Periodic Points