3 papers
math.FA2026
Transfinite Schreier families and cardinal invariants
Kevin Beanland, Christian Rosendal
We study the dependence of the transfinite Schreier hierarchy on the choice of fundamental sequences for the countable limit ordinals. With each Schreier family we associate an int…
math.FA2026
A Classification of Order Convergence via a Transfinite Fatou Hierarchy
Antonio Avilés, Christian Rosendal, Mitchell A. Taylor +1
We investigate the descriptive complexity of order convergence in separable Banach lattices. While uniform convergence is Borel and -order convergence is known to be ${\bf Δ}^1_…
math.GR2024
Asymptotically spherical groups
Christian Rosendal, Jenna Zomback
We define a notion of asymptotically spherical topological groups, which says that spheres of large radius with respect to any maximal length function are still spherical with resp…