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- W2004202333 abstract "We show that any filtering family of closed convex subsets of a finite-dimensional CAT(0) space X has a non-empty intersection in the visual bordification $${ overline{X} = X cup partial X}$$ . Using this fact, several results known for proper CAT(0) spaces may be extended to finite-dimensional spaces, including the existence of canonical fixed points at infinity for parabolic isometries, algebraic and geometric restrictions on amenable group actions, and geometric superrigidity for non-elementary actions of irreducible uniform lattices in products of locally compact groups." @default.
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- W2004202333 date "2009-07-01" @default.
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- W2004202333 title "At infinity of finite-dimensional CAT(0) spaces" @default.
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- W2004202333 doi "https://doi.org/10.1007/s00208-009-0381-1" @default.
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