A topological analogue of the Borel density theorem
type: Item
instance of: scholarly article
title: A topological analogue of the Borel density theorem
zbMATH Open document ID: 0854.22006
DOI: 10.1016/0040-9383(94)E0010-H
author: Garrett Stuck
published in: Topology
publication date: 1997-01-20T00:00:00Z
review text: The well known Borel density theorem says that if \(G\) is a connected semisimple Lie group without connected compact subgroup and \(\Gamma\) is a lattice in \(G\) (i.e., \(G/\Gamma\) has finite \(G\)-invariant measure), then \(\Gamma\) is Zariski dense in \(G\). -- The author proves an analogue of this statement replacing the condition ``\(\Gamma\) is a lattice in \(G\)'' by the more general condition ``\(G/\Gamma\) has more than two ends''.
Mathematics Subject Classification ID: 22E20
zbMATH DE Number: 722028
zbMATH Keywords: semisimple Lie group
zbMATH Keywords: lattice
zbMATH Keywords: measure
zbMATH Keywords: Zariski dense
reviewed by: G. A. Soifer
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 722028