Extending a rigidity result of Lytchak
Russell Ricks
TL;DR
This paper broadens a known rigidity theorem for CAT(1) spaces by removing the condition that the space must be geodesically complete, thus expanding its applicability.
Contribution
It introduces a generalized version of Lytchak's rigidity result, relaxing the geodesic completeness requirement for CAT(1) spaces.
Findings
Rigidity result extended to non-geodesically complete spaces
Broader class of CAT(1) spaces covered
Potential applications in geometric group theory
Abstract
We extend a rigidity result of Alexander Lytchak by relaxing the requirement that the CAT(1) space be geodesically complete.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology