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- W1676846541 abstract "The set $Cal C(G)$ of closed subgroups of a locally compact group $G$ has a natural topology which makes it a compact space. This topology has been defined in various contexts by Vietoris, Chabauty, Fell, Thurston, Gromov, Grigorchuk, and many others. The purpose of the talk was to describe the space $Cal C(G)$ first for a few elementary examples, then for $G$ the complex plane, in which case $Cal C(G)$ is a 4--sphere (a result of Hubbard and Pourezza), and finally for the 3--dimensional Heisenberg group $H$, in which case $Cal C(H)$ is a 6--dimensional singular space recently investigated by Martin Bridson, Victor Kleptsyn and the author cite{BrHK}. These are slightly expanded notes prepared for a talk given at several places: the Kortrijk workshop on {it Discrete Groups and Geometric Structures, with Applications III,} May 26--30, 2008; the {it Tripode 14,} Ecole Normale Superieure de Lyon, June 13, 2008; and seminars at the EPFL, Lausanne, and in the Universite de Rennes 1. The notes do not contain any other result than those in cite{BrHK}, and are not intended for publication." @default.
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- W1676846541 date "2008-07-13" @default.
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- W1676846541 title "Spaces of closed subgroups of locally compact groups" @default.
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