A metrizable topology on the contracting boundary of a group
Copyright policy )A metrizable topology on the contracting boundary of a group
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.
- University of Bristol United Kingdom
- University of Vienna Austria
- Mathematical Sciences Research Institute United States
Contracting boundary, ÖFOS 2012 -- NATURAL SCIENCES (1) -- Mathematics (101) -- Mathematics (1010) -- Algebra (101001), QUASI-GEODESICS, SPACES, ÖFOS 2012 -- NATURAL SCIENCES (1) -- Mathematics (101) -- Mathematics (1010) -- Geometry (101009), Group Theory (math.GR), 510, Hyperbolic groups and nonpositively curved groups, Mathematics - Metric Geometry, 101022 Topology, DIVERGENCE, FOS: Mathematics, Boundary at infinity, contracting boundary, Divagation, contracting boundary, Morse boundary, boundary at infinity, contracting geodesic, divagation, ÖFOS 2012 -- NATURWISSENSCHAFTEN (1) -- Mathematik (101) -- Mathematik (1010) -- Topologie (101022), STABILITY, ÖFOS 2012 -- NATURWISSENSCHAFTEN (1) -- Mathematik (101) -- Mathematik (1010) -- Algebra (101001), GEOMETRY, boundary at infinity, 101001 Algebra, Metric Geometry (math.MG), ÖFOS 2012 -- NATURAL SCIENCES (1) -- Mathematics (101) -- Mathematics (1010) -- Topology (101022), 101009 Geometrie, 004, contracting geodesic, Morse boundary, divagation, Contracting geodesic, ÖFOS 2012 -- NATURWISSENSCHAFTEN (1) -- Mathematik (101) -- Mathematik (1010) -- Geometrie (101009), PROJECTIONS, 101009 Geometry, 20F65, 20F67, 101022 Topologie, Geometric group theory, Mathematics - Group Theory
Contracting boundary, ÖFOS 2012 -- NATURAL SCIENCES (1) -- Mathematics (101) -- Mathematics (1010) -- Algebra (101001), QUASI-GEODESICS, SPACES, ÖFOS 2012 -- NATURAL SCIENCES (1) -- Mathematics (101) -- Mathematics (1010) -- Geometry (101009), Group Theory (math.GR), 510, Hyperbolic groups and nonpositively curved groups, Mathematics - Metric Geometry, 101022 Topology, DIVERGENCE, FOS: Mathematics, Boundary at infinity, contracting boundary, Divagation, contracting boundary, Morse boundary, boundary at infinity, contracting geodesic, divagation, ÖFOS 2012 -- NATURWISSENSCHAFTEN (1) -- Mathematik (101) -- Mathematik (1010) -- Topologie (101022), STABILITY, ÖFOS 2012 -- NATURWISSENSCHAFTEN (1) -- Mathematik (101) -- Mathematik (1010) -- Algebra (101001), GEOMETRY, boundary at infinity, 101001 Algebra, Metric Geometry (math.MG), ÖFOS 2012 -- NATURAL SCIENCES (1) -- Mathematics (101) -- Mathematics (1010) -- Topology (101022), 101009 Geometrie, 004, contracting geodesic, Morse boundary, divagation, Contracting geodesic, ÖFOS 2012 -- NATURWISSENSCHAFTEN (1) -- Mathematik (101) -- Mathematik (1010) -- Geometrie (101009), PROJECTIONS, 101009 Geometry, 20F65, 20F67, 101022 Topologie, Geometric group theory, Mathematics - Group Theory
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