Topological Symmetries of R³, II

2016/03/10 by Fang Sun, Sun, Fang
Mathematics · #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AT

paper · pdf · doi:10.48550/arxiv.1603.03396

arxiv created 2016/03/10 · openalex publication_date 2016/03/10 · arxiv updated 2016/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If a fintie group G acts topologically and faithfully on R³, then G is a subgroup of O(3)

Related

• Topological Symmetries of R³
• On topological actions of finite groups on S³
• Highly symmetric fundamental domains for lattices in R² and R³
• Finite abelian groups acting on rationally connected threefolds II: groups of K3 type
• A characterization of the Fermat quartic K3 surface by means of finite symmetries