2 papers
math.GR2025
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…
math.GT2024
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…