On the dynamics of isometries.
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Karlsson, Anders (2005)
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The notion of generalises simultaneously and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.
Yamashita, Shinji (1994)
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Using classical results of infinite-dimensional geometry, we show that the isometry group of the Urysohn space, endowed with its usual Polish group topology, is homeomorphic to the separable Hilbert space ℓ²(ℕ). The proof is based on a lemma about extensions of metric spaces by finite metric spaces, which we also use to investigate (answering a question of I. Goldbring) the relationship, when A,B are finite subsets of the Urysohn space, between the group of isometries fixing A pointwise,...
Ivanov, Nikolai V. (2002)
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McCarthy, John D., Papadopoulos, Athanase (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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