RELATIONS BETWEEN VARIOUS BOUNDARIES OF RELATIVELY HYPERBOLIC GROUPS
2013 ◽
Vol 23
(07)
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pp. 1551-1572
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Keyword(s):
Suppose a group G is relatively hyperbolic with respect to a collection ℙ of its subgroups and also acts properly, cocompactly on a CAT(0) (or δ-hyperbolic) space X. The relatively hyperbolic structure provides a relative boundary ∂(G, ℙ). The CAT(0) structure provides a different boundary at infinity ∂X. In this paper, we examine the connection between these two spaces at infinity. In particular, we show that ∂(G, ℙ) is G-equivariantly homeomorphic to the space obtained from ∂X by identifying the peripheral limit points of the same type.
2012 ◽
Vol 22
(03)
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pp. 1250016
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Keyword(s):
2008 ◽
Vol 18
(01)
◽
pp. 97-110
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2013 ◽
Vol 05
(04)
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pp. 451-475
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2015 ◽
Vol 25
(05)
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pp. 689-723
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2008 ◽
Vol 360
(12)
◽
pp. 6303-6318
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2012 ◽
Vol 04
(01)
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pp. 99-113
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