Hyperbolizing hyperspaces

DOI10.1307/mmj/1301586312zbMath1220.30075OpenAlexW4247479642MaRDI QIDQ538019

Zair Ibragimov

Publication date: 23 May 2011

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1301586312

zbMATH Keywords

chordal metricGromov hyperbolic spaceshyperbolizing hyperspacesquasi-isometric embeddings of hypersurfaces

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Embedding theorems for complex manifolds (32Q40) Analysis on metric spaces (30L99)

Related Items (11)

The hyperbolization of hyperspaces ⋮ Geodesic bicombings on some hyperspaces ⋮ Hyperbolization of the limit sets of some geometric constructions ⋮ Ptolemy Through the Centuries ⋮ Metric Möbius geometry and a characterization of spheres ⋮ A hyperbolic filling for ultrametric spaces ⋮ A Gromov hyperbolic metric vs the hyperbolic and other related metrics ⋮ Averaging one-point hyperbolic-type metrics ⋮ Hyperbolizing metric spaces ⋮ Strongly hyperbolic metrics on Ptolemy spaces ⋮ A new intrinsic metric on metric spaces

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