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Showing 1 to 4 of 4 for “"Gromov boundary"”.
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Boundaries and hierarchically hyperbolic spaces
Although the hierarchically hyperbolic space boundary is a generalization of the Gromov boundary, we will show there are fundamental differences between the two. First, we provide negative answers to questions posed by Durham, Hagen, and Sisto on the existence of boundary maps for some …
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Detecting topological properties of boundaries of hyperbolic groups
… with a negative curvature property, such as Gromov hyperbolicity. Such groups are surprisingly common: there is a sense in which a random group admits such an action, as do some groups of classical interest, such as fundamental groups of closed Riemannian manifolds with negative sectional …
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Trees, dendrites, and the Cannon-Thurston map
Made available in DSpace on 2020-08-26T21:54:20Z (GMT). No. of bitstreams: 7 FIELD-DISSERTATION-2020.pdf: 526393 bytes, checksum: 55c9b0a2e5c08967f5151d583f4ea47c (MD5) AlgebraicLamination.pdf: 11632 bytes, checksum: b93bb9ed7222c1b733ecf6d7808ed116 (MD5) EFieldThesis_Revised.tex: 200721 bytes, …
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Gromov boundaries of complexes associated to surfaces
… of Klarreich and Schleimer identifying the Gromov boundaries of the curve graph and the arc graph, respectively, as spaces of laminations.