3 citations · 3 across the 4 of their papers we have counts for
4 papers
On Chamber-regular -Lattices
Franziska Stamer, Thomas Titz Mite
We construct the first examples of chamber-regular lattices on -buildings. Assuming a conjecture of Kantor, our list of examples becomes a classification for type-prese…
Non-residually finite -lattices
Thomas Titz Mite, Stefan Witzel
We provide the first known examples of non-residually finite lattices on irreducible buildings. They contain the first known simple CAT(0)-groups with property (T), and the first k…
A C2-tilde-lattice that is not residually finite
Thomas Titz Mite, Stefan Witzel
We construct the first example of a lattice on an irreducible Euclidean building that is not residually finite. Conjecturally, the normal subgroup theorem extends to this lattice m…
Vietoris-Rips complexes of Platonic solids
Nada Saleh, Thomas Titz Mite, Stefan Witzel
We determine the homotopy type of the Vietoris-Rips complexes of the (vertex sets of the) platonic solids. The most interesting case is that the Vietoris-Rips complex of the dodeca…