1 citations · 2 across the 3 of their papers we have counts for
6 papers · 1 filter
Between free and direct products of groups
Maxime Gheysens, Nicolas Monod
We investigate the group obtained by gluing together two groups and at the neutral element. This construction curiously shares some properties with the free prod…
Dynamics and structure of groups of homeomorphisms of scattered spaces
Maxime Gheysens
We study the topological structure and the topological dynamics of groups of homeomorphisms of scattered spaces. For a large class of them (including the homeomorphism group of any…
Uniformly locally bounded spaces and the group of automorphisms of a topological group
Maxime Gheysens
We show that the topology of uniform convergence on bounded sets is compatible with the group law of the automorphism group of a large class of spaces that are endowed with both a…
The homeomorphism group of the first uncountable ordinal
Maxime Gheysens
We show that the topology of pointwise convergence on scattered spaces is compatible with the group structure of their homeomorphism group. We then establish a few topological prop…
The scale function and tidy subgroups
Albrecht Brehm, Maxime Gheysens, Adrien Le Boudec +1
This exposition article arose from two talks given during the Oberwolfach Arbeitsgemeinschaft on Totally Disconnected Groups in October 2014. This is an introduction to the structu…
Fixed points for bounded orbits in Hilbert spaces
Maxime Gheysens, Nicolas Monod
Consider the following property of a topological group G: every continuous affine G-action on a Hilbert space with a bounded orbit has a fixed point. We prove that this property ch…