Pseudoarcs, pseudocircles, Lakes of Wada and generic maps on \(S^2\)

DOI10.1016/j.topol.2004.11.012zbMath1082.54014OpenAlexW1998850434MaRDI QIDQ1779525

Udayan B. Darji, Zoltán Buczolich

Publication date: 1 June 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.11.012

zbMATH Keywords

generic mapsLakes of Wadapseudoarcspseudocircles

Mathematics Subject Classification ID

Maps and general types of topological spaces defined by maps (54C99) Topological manifolds (57N99)

Related Items (4)

Higher-dimensional Bruckner-Garg type theorem ⋮ Fibers of generic maps on surfaces ⋮ Bruckner–Garg-Type Results with Respect to Haar Null Sets inC[0, 1] ⋮ Multifractal spectrum and generic properties of functions monotone in several variables

Cites Work

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• The pseudo-arc
• The Level Structure of a Residual Set of Continuous Functions
• Level sets of a typical 𝐶ⁿ function
• Micro tangent sets of continuous functions
• Hausdorff Measure and Level Sets of Typical Continuous Mappings in Euclidean Spaces
• Classification problems in continuum theory
• \(C^n\) functions, Hausdorff measures, and analytic sets

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