18 citations · 75 across the 10 of their papers we have counts for
10 papers
The dense amalgam of metric compacta and topological characterization of boundaries of free products of groups
Jacek Swiatkowski
We introduce and study the operation, called dense amalgam, which to any tuple X_1,...,X_k of non-empty compact metric spaces associates some disconnected perfect compact metric sp…
On asymptotically hereditarily aspherical groups
Damian Osajda, Jacek Swiatkowski
We undertake a systematic study of asymptotically hereditarily aspherical (AHA) groups - the class of groups introduced by Tadeusz Januszkiewicz and the second author as a tool for…
Trees of manifolds as boundaries of spaces and groups
Jacek Swiatkowski
We show that trees of manifolds, the topological spaces introduced by Jakobsche, appear as boundaries at infinity of various spaces and groups. In particular, they appear as Gromov…
Trees of metric compacta and trees of manifolds
Jacek Swiatkowski
We present a construction, called the limit of a tree system of spaces (or, less formally, a tree of spaces). The construction is designed to produce compact metric spaces that res…
Collapse of random triangular groups: a closer look
Sylwia Antoniuk, Tomasz Łuczak, Jacek Świcatkowski
The random triangular group Γ(n,t) is a group given by a presentation P=<S|R>, where S is a set of n generators and R is a random set of t cyclically reduced words of length three.…
Hyperbolic groups with homeomorphic Gromov boundaries
A. Martin, J. Swiatkowski
We show that the Gromov boundary of the free product of two infinite hyperbolic groups is uniquely determined up to homeomorphism by the homeomorphism types of the boundaries of it…