A characterization of the universal curve and a proof of its homogeneity
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Publication:770638
DOI10.2307/1970007zbMath0083.17607OpenAlexW2316719207MaRDI QIDQ770638
Publication date: 1958
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1970007
Related Items (41)
On generalized homogeneity of curves of a constant order ⋮ Certain mappings or decompositions which are topologically projections ⋮ Unnamed Item ⋮ Random Recursive Constructions: Asymptotic Geometric and Topological Properties ⋮ Open problems on countable dense homogeneity ⋮ Completely regular mappings and dimension ⋮ A combinatorial model for the Menger curve ⋮ \(\frac{1}{2}\)-homogeneity of \(n\)th suspensions ⋮ \(\frac {1}{2}\)-Homogeneous continua with cut points ⋮ Hyperbolic right-angled Coxeter groups with boundaries as a Sierpiński carpet and a Menger curve ⋮ \(\frac{1}{n}\)-homogeneity of the 2-nd cones ⋮ Monotone Mapping Properties of Hereditarily Infinite Dimensional Spaces ⋮ Right‐angled Coxeter groups with Menger curve boundary ⋮ On (strongly) \((\Theta\)-)discrete homogeneous spaces ⋮ Eulerian Spaces ⋮ Homeomorphism groups of homogeneous compacta need not be minimal ⋮ Group actions on dendrites and curves ⋮ Hyperbolic groups with low-dimensional boundary ⋮ On locally chainable homogeneous continua ⋮ Finitely Cyclic Homogeneous Continua ⋮ Open Mappings of the Universal Curve onto Continuous Curves ⋮ Countable dense homogeneity and the Baire property ⋮ Actions of finitely generated groups on the universal Menger curve ⋮ Swiss cheese, dendrites, and quasiconformal homogeneity ⋮ On homeomorphism groups of Menger continua ⋮ Dynamical systems which realize given random bi-sequences of points on their orbits ⋮ Restrictions of Open Mappings of Continua ⋮ On \(\frac 12\)-homogeneous continua ⋮ Local cut points and splittings of relatively hyperbolic groups ⋮ \(n\)-homogeneous and LH generalized topological spaces ⋮ On the Dimension of Certain Totally Disconnected Spaces ⋮ One-dimensional locally connected S-spaces ⋮ On the Bihomogeneity Problem of Knaster ⋮ The visual boundary of hyperbolic free-by-cyclic groups ⋮ Characterizing 𝑘-dimensional universal Menger compacta ⋮ Word calculus in the fundamental group of the Menger curve ⋮ \(\frac 1 2\)-homogeneous suspensions ⋮ Minimal dynamics on Menger manifolds ⋮ Bihomogeneity and Menger manifolds ⋮ At the boundary of some hyperbolic polyhedra ⋮ Continua whose homeomorphism groups are generated by arbitrarily small neighborhoods of the identity
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