1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
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_…
Set theory, logic, and homeomorphism groups of manifolds
James E. Hanson, Thomas Koberda, J. de la Nuez González +1
We investigate the relationship between axiomatic set theory and the first-order theory of homeomorphism groups of manifolds in the language of group theory, concentrating on first…
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…
Coordinate systems in Banach spaces and lattices
Antonio Avilés, Christian Rosendal, Mitchell A. Taylor +1
Using methods of descriptive set theory, in particular, the determinacy of infinite games of perfect information, we answer several questions from the literature regarding differen…
Separation ratios of maps between Banach spaces
Christian Rosendal
Under the weak assumption on a Banach space that embeds isomorphically into , we provide a characterisation of when a Banach space coarsely embeds into v…