On the isometry groups of certain CAT(0) spaces and trees
نویسندگان
چکیده
منابع مشابه
On the isometry groups of certain CAT(0) spaces and trees
We show that the automorphism group of a locally finite tree is discrete, or pro-finite, or not the inverse limit of an inverse system of discrete groups, and provide necessary and sufficient conditions for each of these possibilities to occur. More generally, we demonstrate that for certain proper CAT(0) spaces X, the group of isometries of X is not an inverse limit of Lie groups. 2000 Elsev...
متن کاملIsometry Groups of Separable Metric Spaces
We show that every locally compact Polish group is isomorphic to the isometry group of a proper separable metric space. This answers a question of Gao and Kechris. We also analyze the natural action of the isometry group of a separable ultrametric space on the space. This leads us to a structure theorem representing an arbitrary separable ultrametric space as a bundle with an ultrametric base a...
متن کامل5 Isometry Groups of Proper Hyperbolic Spaces
Let X be a proper hyperbolic geodesic metric space and let G be a closed subgroup of the isometry group Iso(X) of X. We show that if G is not elementary then for every p ∈ [1, ∞) the second continuous bounded cohomology group H 2 cb (G, L p (G)) does not vanish. As an application, we derive some structure results for closed subgroups of Iso(X).
متن کاملCompact Metrizable Groups Are Isometry Groups of Compact Metric Spaces
This note is devoted to proving the following result: given a compact metrizable group G, there is a compact metric space K such that G is isomorphic (as a topological group) to the isometry group of K.
متن کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولذخیره 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: Topology and its Applications
سال: 2000
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00143-1