Title (eng)

A metrizable topology on the contracting boundary of a group

Author

Christopher H. Cashen

John M. Mackay

Description

The 'contracting boundary' of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space. We introduce a geometrically relevant, quasi-isometry invariant topology on the contracting boundary. When the space is the Cayley graph of a finitely generated group we show that our new topology is metrizable.

Object languages

English

Rights

© All rights reserved

Classification

contracting boundary, Morse boundary, boundary at infinity, contracting geodesic, divagation

ÖFOS 2012 -- NATURAL SCIENCES (1) -- Mathematics (101) -- Mathematics (1010) -- Topology (101022)

ÖFOS 2012 -- NATURAL SCIENCES (1) -- Mathematics (101) -- Mathematics (1010) -- Algebra (101001)

ÖFOS 2012 -- NATURAL SCIENCES (1) -- Mathematics (101) -- Mathematics (1010) -- Geometry (101009)