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Non-amenability and visual Gromov hyperbolic spaces - MaRDI portal

Non-amenability and visual Gromov hyperbolic spaces (Q2013899)

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Non-amenability and visual Gromov hyperbolic spaces
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    Non-amenability and visual Gromov hyperbolic spaces (English)
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    10 August 2017
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    Summary: We prove that a uniformly coarsely proper hyperbolic cone over a bounded metric space consisting of a finite union of uniformly coarsely connected components each containing at least two points is non-amenable and apply this to visual Gromov hyperbolic spaces.
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    hyperbolic spaces
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    isoperimetry
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    amenability
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