Automatic continuity of pure mapping class groups

zbMATH Open1546.57035MaRDI QIDQ6574912

Ryan Dickmann

Publication date: 19 July 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

topological groupautomatic continuitymanifold with boundarymapping class groupboundaryPolish groupnoncompactnon-compactpure mapping class group

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Constructing group actions on quasi-trees and applications to mapping class groups
• Automatic continuity of homomorphisms and fixed points on metric compacta
• Geometry of the complex of curves. II: Hierarchical structure
• Three perfect mapping class groups
• Big pure mapping class groups are never perfect
• Automatic Continuity of Group Homomorphisms
• The Classification of Two-Dimensional Manifolds
• On the Classification of Noncompact Surfaces
• The First Integral Cohomology of Pure Mapping Class Groups
• Mapping class groups of surfaces with noncompact boundary components
• Automatic continuity for homeomorphism groups and big mapping class groups
• Big mapping class groups and the co-Hopfian property

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