On the boundaries of geodesically complete CAT(0) spaces
Conrad Plaut
TL;DR
This paper establishes specific infinitesimal conditions under which proper, geodesically complete CAT(0) spaces exhibit semistability of their fundamental group at infinity, contributing to geometric group theory.
Contribution
It introduces new infinitesimal criteria that determine the semistability of the fundamental group at infinity in CAT(0) spaces.
Findings
Identifies infinitesimal conditions for semistability
Provides criteria applicable to proper geodesically complete CAT(0) spaces
Advances understanding of fundamental groups at infinity
Abstract
We give concrete, "infinitesimal" conditions for a proper geodesically complete CAT(0) space to have semistable fundamental group at infinity.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research