Topological characterization of the Sierpiński curve
From MaRDI portal
Publication:3249412
DOI10.4064/fm-45-1-320-324zbMath0081.16904OpenAlexW307108678MaRDI QIDQ3249412
Publication date: 1958
Published in: Fundamenta Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/213473
Related Items
The complexity of homeomorphism relations on some classes of compacta with bounded topological dimension, On partially hyperbolic diffeomorphisms and regular Denjoy type homeomorphisms, Thin Loewner Carpets and Their Quasisymmetric Embeddings in S2, A characterization of Sierpiński carpet rational maps, The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues: a survey of the analytic aspects, On the existence of cut points of connected generalized Sierpiński carpets, Julia sets of cubic rational maps with escaping critical points, Topology automaton of self-similar sets and its applications to metrical classifications, Scale-free and small-world properties of Sierpinski networks, On generalized homogeneity of curves of a constant order, Geodesic planes in the convex core of an acylindrical 3-manifold, RINGS AROUND SIERPINSKI HOLES, Locally connected exceptional minimal sets of surface homeomorphisms., Quasisymmetries of Sierpiński carpet Julia sets, Criterion for Cannon's conjecture., Random Recursive Constructions: Asymptotic Geometric and Topological Properties, Singular perturbations with multiple poles of the simple polynomials, An Infinite Sequence of Bitransitive Sierpiński Carpets for z↦λ(z + 1 z), Hyperbolic Coxeter groups with Sierpiński carpet boundary, Exotic topology in complex dynamics, Gordon T. Whyburn 1904-1969, Dynamics of regularly ramified rational maps. I: Julia sets of maps in one-parameter families, On topological properties of Fatou sets and Julia sets of transcendental entire functions, LIPSCHITZ EQUIVALENCE OF SELF-SIMILAR SETS AND FINITE-STATE AUTOMATON, Exponential growth of some iterated monodromy groups, On The Dimensions of Certain Spaces of Homeomorphisms, AVERAGE GEODESIC DISTANCE OF SIERPIŃSKI-TYPE NETWORKS, Universal nowhere dense subsets of locally compact manifolds, Geodesic planes in hyperbolic 3-manifolds, Sierpiński curve Julia sets of rational maps, Hyperbolic right-angled Coxeter groups with boundaries as a Sierpiński carpet and a Menger curve, Minimal direct products, Non-removability of the Sierpiński gasket, Quasisymmetric embeddings of slit Sierpiński carpets, Connectivity of the Julia sets of singularly perturbed rational maps, Conformal uniformization of planar packings by disk packings, Generalized rings around the McMullen domain, Extending external rays throughout the Julia sets of rational maps, A bounded sequence of bitransitive and capture Sierpiński curve Julia sets for 3-circle inversions, Square Sierpiński carpets and Lattès maps, On the topology of locally 2-connected Peano continua, ON THE TOPOLOGICAL CLASSIFICATION OF FRACTAL SQUARES, A criterion to generate carpet Julia sets, Quasisymmetric rigidity of square Sierpiński carpets, Right-angled Coxeter groups with non-planar boundary, Complete topological descriptions of certain Morse boundaries, On dynamics of the Sierpiński carpet, Semi-hyperbolic rational maps and size of Fatou components, Mandelpinski structures in the parameter planes of rational maps, Hyperbolic groups with low-dimensional boundary, Quasisymmetric geometry of Sierpiński carpet Julia sets, Deforestation of Peano continua and minimal deformation retracts, Strongly Locally Setwise Homogeneous Continua and Their Homeomorphism Groups, Topological Hausdorff dimension of fractal squares and its application to Lipschitz classification, Uniformization of Sierpiński carpets in the plane, Embeddings of surfaces in euclidean three-space, On the dynamics of a family of singularly perturbed rational maps, Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps, A topological characterization of the Sierpiński triangle, A locally connected rim-countable continuum which is the continuous image of no arc, A Cantor-Mandelbrot-Sierpiński tree in the parameter plane for rational maps, Non-removability of Sierpinski carpets, Invariant Jordan curves of Sierpiński carpet rational maps, Topological invariants and Lipschitz equivalence of fractal squares, A dimension drop phenomenon of fractal cubes, Expansion properties for finite subdivision rules. I., Quasisymmetric geometry of the Julia sets of McMullen maps, Quasisymmetrically inequivalent hyperbolic Julia sets, A Sierpiński carpet with the co-Hopfian property, On homeomorphism groups of Menger continua, Indecomposable continua and the Julia sets of polynomials. II, On the dynamics of a family of generated renormalization transformations, Julia sets converging to the unit disk, A Rim-Metrizable Continuum, Erdos space and homeomorphism groups of manifolds, Denjoy-Sacksteder theory for groups of diffeomorphisms, On the fundamental groups of one-dimensional spaces, Local cut points and splittings of relatively hyperbolic groups, A stronger form of countable dense homogeneity of the plane, The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes, On groups with \(S^2\) Bowditch boundary, On the dynamics of the singularly perturbed rational maps, Abstract swiss cheese space and classicalisation of swiss cheeses, Differentiable points of Sierpinski-like sponges, Non-removability of Sierpiński spaces, Hyperbolic groups with planar boundaries, ASYMPTOTIC FORMULA ON AVERAGE PATH LENGTH OF A SPECIAL NETWORK BASED ON SIERPINSKI CARPET, REMARKS ON QUASISYMMETRIC RIGIDITY OF SQUARE SIERPIŃSKI CARPETS, The relative hyperbolicity and manifold structure of certain right-angled Coxeter groups, AVERAGE GEODESIC DISTANCE OF SIERPINSKI CARPET, The visual boundary of hyperbolic free-by-cyclic groups, Area and Hausdorff dimension of Sierpiński carpet Julia sets, Mandelpinski necklaces in the parameter planes of rational maps, Erratum to: ``On groups with \(S^2\) Bowditch boundary, On topological classification of regular Denjoy type homeomorphisms, Singular perturbations of complex polynomials, The McMullen domain: Rings around the boundary, Parameter Planes for Complex Analytic Maps, On self-homeomorphic spaces, Dynamics for rotation pseudogroups, The fundamental groups of subsets of closed surfaces inject into their first shape groups, Takens-type reconstruction theorems of one-sided dynamical systems
