4 papers
Boundaries for geodesic spaces
Jerzy Dydak, Hussain Rashed
For every proper geodesic space we introduce its quasi-geometric boundary with the following properties: 1. Every geodesic ray in converges to a point…
Ends of spaces via linear algebra
Jerzy Dydak, Hussain Rashed
We develop a theory that may be considered as a prequel to the coarse theory. We are viewing ends of spaces as extra points at infinity. In order to discuss behaviour of spaces at…
The Stone's Representation Theorems and compactifications of a discrete space
Hussain Rashed
This paper is meant to give a short exposition of the Stone's Representation Theorems. We provide three equivalent approaches to construct a Stone's space from a given Boolean alge…
Ends of large scale groups
Yuankui Ma, Hussain Rashed, Jerzy Dydak
The aim of this paper is to unify the theory of ends of finitely generated groups with that of ends of locally compact, metrizable and connected topological groups. In both theorie…