A note on properly discontinuous actions
Michael Kapovich
TL;DR
This paper compares different definitions of proper discontinuity in group actions, discusses fundamental domains, and provides criteria for cocompactness, clarifying key concepts in geometric group theory.
Contribution
It systematically analyzes various notions of proper discontinuity and offers criteria for cocompactness, enhancing understanding of group actions.
Findings
Comparison of notions of proper discontinuity
Criteria for cocompactness in group actions
Discussion on fundamental domains
Abstract
We compare various notions of proper discontinuity for group actions. We also discuss fundamental domains and criteria for cocompactness.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology · Advanced Differential Equations and Dynamical Systems