The Chabauty space of a topological group is the set of its closed subgroups, endowed with
a natural topology. As soon as n> 2, the Chabauty space of ℝn has a rather intricate …

On the Chabauty space of locally compact abelian groups Page 1 Algebraic & Geometric
Topology 11 (2011) 2007–2035 2007 On the Chabauty space of locally compact abelian …

Let G be a locally compact topological group. We denote by C (G) the hyperspace of all
closed subgroups of G equipped with the Chabauty topology; this is a compact space. The …

In this paper we describe the local limits under conjugation of all closed connected
subgroups of SL3 (R) in the Chabauty topology. Résumé. Dans cet article, nous décrivons …

The closed subsets ℱ⁢(X) of any topological space can be given a topology, called the
Chabauty–Fell topology, in which ℱ⁢(X) is quasi-compact. If X is a locally compact space …

Let G be a locally compact topological group, G 0 the connected component of its identity
element, and comp (G) the union of all compact subgroups. A topological group will be …

A locally compact group G is said to be approximable by totally disconnected subgroups if
there is a sequence of closed totally disconnected subgroups (Γ _n) _ n ∈\mathbb N (Γ n) …

The aim of this paper is to provide a gentle introduction to Chabauty topology, while very
little background knowledge is assumed. As an example, we provide pictures for the …

Let 𝒞 (G) denote the Chabauty space of closed subgroups of the locally compact group G.
We first prove that 𝒞 (ℚ p×) is a proper compactification of ℕ, identified with the set N of open …

\def\ch {{\cal S\hskip-. 5pt U\hskip-. 9pt B}} Let $ G $ be a locally compact group. We denote
by $\ch (G) $ the hyperspace of closed subgroups of $ G $ endowed with the Chabauty …