2 papers
math.GR2026
Coarse Structures on Homogeneous Spaces
Carlos Pérez Estrada, Christian Rosendal
Given a closed normal subgroup of a topological group , we address the question of whether the left coarse structure on the quotient group equals the quotient of the l…
math.LO2024
Every Polish group has a non-trivial topological group automorphism
Carlos Pérez Estrada, Ulises Ariet Ramos-García
We prove that every Polish group with more than two elements admits a non-trivial topological group automorphism. As a consequence, a hypothetical uniquely homogeneous Polish space…