Semistability and CAT(0) Geometry
Ross Geoghegan
TL;DR
This paper explores how the semistability of one-ended proper CAT(0) spaces can be characterized through geodesic rays, with applications to understanding boundaries of CAT(0) groups.
Contribution
It provides a new criterion for semistability in CAT(0) spaces based on geodesic rays, linking geometric properties to group boundaries.
Findings
Semistability can be determined by geodesic rays in CAT(0) spaces.
Application of semistability criteria to boundaries of CAT(0) groups.
Abstract
We explain why semistability of a one-ended proper CAT(0) space can be determined by the geodesic rays. This is applied to boundaries of CAT(0) groups.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Advanced Numerical Analysis Techniques · Point processes and geometric inequalities