6 citations · 13 across the 9 of their papers we have counts for
4 papers · 1 filter
Infinite asymptotic games
Christian Rosendal
We study infinite asymptotic games in Banach spaces with an F.D.D. and prove that analytic games are determined by characterising precisely the conditions for the players to have w…
Automatic continuity of homomorphisms and fixed points on metric compacta
Christian Rosendal, Slawomir Solecki
We prove that arbitrary homomorphisms from one of the groups ${\rm Homeo}(\ca)$, ${\rm Homeo}(\ca)^\N$, ${\rm Aut}(\Q,<)$, , or into a separable…
Automatic continuity in homeomorphism groups of compact 2-manifolds
Christian Rosendal
We show that any homomorphism from the homeomorphism group of a compact 2-manifold, with the compact-open topology, or equivalently, with the topology of uniform convergence, into…
On the algebraic structure of the unitary group
Eric Ricard, Christian Rosendal
We consider the unitary group $\U$ of complex, separable, infinite-dimensional Hilbert space as a discrete group. It is proved that, whenever $\U$ acts by isometries on a metric sp…