5 papers
Strongly bounded generation in transformation groups
Nicholas G. Vlamis
Word metrics on finitely generated groups have canonical quasi-isometry classes, making quasi-isometry invariants genuine group invariants. Rosendal generalized this phenomenon to…
Non-planar ends are continuously unforgettable
Javier Aramayona, Rodrigo De Pool, Rachel Skipper +3
We show that continuous epimorphisms between a class of subgroups of mapping class groups of orientable infinite-genus 2-manifolds with no planar ends are always induced by homeomo…
Algebraic and geometric properties of homeomorphism groups of ordinals
Megha Bhat, Rongdao Chen, Adityo Mamun +3
We study the homeomorphism groups of ordinals equipped with their order topology, focusing on successor ordinals whose limit capacity is also a successor. This is a rich family of…
Covers of surfaces
Ian Biringer, Yassin Chandran, Tommaso Cremaschi +4
We study the homeomorphism types of certain covers of (always orientable) surfaces, usually of infinite-type. We show that every surface with non-abelian fundamental group is cover…
Orientation-preserving homeomorphisms of Euclidean space are commutators
Megha Bhat, Nicholas G. Vlamis
We prove that every orientation-preserving homeomorphism of Euclidean space can be expressed as a commutator of two orientation-preserving homeomorphisms. We give an analogous resu…