2 citations · 4 across the 5 of their papers we have counts for
5 papers
-boundaries, splittings over finite subgroups, and dense amalgams
Mateusz Kandybo, Jacek Świątkowski
The dense amalgam is an operation (introduced in arXiv:1410.4989) which to any finite collection of metrizable compacta associates canonically some new highly disconnected compact…
Trees of Graphs as Boundaries of Hyperbolic Groups
Nima Hoda, Jacek Świątkowski
We characterize those 1-ended word hyperbolic groups whose Gromov boundaries are homeomorphic to trees of graphs (i.e. to inverse limits of graphs that have particularly simple fin…
Complete characterizations of hyperbolic Coxeter groups with Sierpiński curve boundary and with Menger curve boundary
Daniel Danielski, Michael Kapovich, Jacek Świątkowski
We give complete characterizations (in terms of nerves) of those word hyperbolic Coxeter groups whose Gromov boundary is homeomorphic to the Sierpiński curve and to the Menger curv…
Reflection trees of graphs as boundaries of Coxeter groups
Jacek Świątkowski
To any finite graph (viewed as a topological space) we assosiate some explicit compact metric space which we call {\it the reflection tree of graphs }. This…
Right-angled Coxeter groups with n-dimensional Sierpiński compacta as boundaries
Jacek Świątkowski
For arbitrary integer n, we describe a large class of right-angled Coxeter systems for which the visual baundary (of the corresponding Coxeter-Davis complex) is homeomorphic to the…