10 citations · 20 across the 15 of their papers we have counts for
4 papers · 1 filter
The fundamentals of cubical isometry groups
Merlin Incerti-Medici
We develop the fundamental theory to study cubical isometry groups as totally disconnected, locally compact groups. We show how cubical isometries are determined by their local act…
Automorphism groups of cocompact CAT(0) cube complexes and simplicity
Tobias Hartnick, Merlin Incerti-Medici
We provide a systematic description of the automorphism groups of specially cocompact CAT(0) cube complexes. We show that these groups are topologically finitely generated, present…
Automorphisms of self-similar trees
Tobias Hartnick, Merlin Incerti-Medici
We explicitly determine the automorphism groups of all self-similar trees (a.k.a. trees with finitely many cone types). We show that any such automorphism group is a direct limit o…
Comparing topologies on the Morse boundary and quasi-isometry invariance
Merlin Incerti-Medici
We compare several topologies on the Morse boundary of a cube complex . In particular, we show that the two topologies introduced by Cashen and…