Compactification de Chabauty des espaces symétriques de type non compact - Mathematics > Geometric TopologyReport as inadecuate




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Abstract: The space of closed subgroups of a locally compact topological group isendowed with a natural topology, called the Chabauty topology. Let X be asymmetric space of noncompact type, and G be its group of isometries. The spaceX identifies with the subspace of maximal compact subgroups of G : taking theclosure gives rise to the Chabauty compactification of the symmetric space X.Using simpler arguments than those present in the book of Guivarc-h, Ji andTaylor, we describe the subgroups that appear in the boundary of thecompactification.



Author: Thomas Haettel

Source: https://arxiv.org/







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