The boundary of negatively curved groups
نویسندگان
چکیده
منابع مشابه
Involutions of negatively curved groups with wild boundary behavior
We are interested in examples of compact, complete, locally CAT(-1) spaces X, and closed totally geodesic codimension two subspaces Y , with the property that ∂∞X̃ = Sn+2 ∞ , and ∂ ∞Ỹ = Sn ∞. We show that if the inclusion S n ∞ ↪→ Sn+2 ∞ induced by the inclusion Y ⊂ X is knotted, then it is a totally wild knot (i.e. nowhere tame). We give examples where the inclusion Sn ∞ ↪→ Sn+2 ∞ is indeed kno...
متن کاملNegatively Curved Groups
The notion of a negatively curved group is at first highly non-intuitive because it links two areas of mathematics that are not usually associated with one another. Curvature is generally a property that we associate with geometric objects like curves or surfaces in R, while a group is an algebraic structure that we associate with objects like integers or matrices. However, there is a way to de...
متن کاملNegatively Curved Groups and the Convergence Property Ii: Transitivity in Negatively Curved Groups
Let G be a negatively curved group. This paper continues the classiication of limit points of G that began in part I. A probability measure is constructed on the space at innnity and with respect to this measure almost every point at innnity is shown to be line transitive.
متن کاملSeparable Subsets of Gferf Negatively Curved Groups
A word hyperbolic group G is called GFERF if every quasiconvex subgroup coincides with the intersection of finite index subgroups containing it. We show that in any such group, the product of finitely many quasiconvex subgroups is closed in the profinite topology on G.
متن کاملPing-pong on Negatively Curved Groups
We generalize results about the classical Schottky groups to quasiconvex subgroups in negatively curved groups, answering a question of M. Bestvina.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1991
ISSN: 0894-0347
DOI: 10.1090/s0894-0347-1991-1096169-1