Group actions on treelike compact spaces
نویسندگان
چکیده
منابع مشابه
Universal Properties of Group Actions on Locally Compact Spaces
We study universal properties of locally compact G-spaces for countable infinite groups G. In particular we consider open invariant subsets of the G-space βG, and their minimal closed invariant subspaces. These are locally compact free G-spaces, and the latter are also minimal. We examine the properties of these G-spaces with emphasis on their universal properties. As an example of our results,...
متن کاملKnowledge on Treelike Spaces
This paper presents a bimodal logic for reasoning about knowledge during knowledge acquisition. One of the modalities represents (effort during) non-deterministic time and the other represents knowledge. The semantics of this logic are tree-like spaces which are a generalization of semantics used for modeling branching time and historical necessity. A finite system of axiom schemes is shown to ...
متن کاملLie group actions on compact
Let G be a homotopically trivial and effective compact Lie group action on a compact manifold N of nonpositive curvature. Under certain assumptions on N we prove that if G has dimension equal to rank of Center π1(N), then G must be connected. Furthermore, if on N there exists a point having negative definite Ricci tensor, then we show that G is the trivial group.
متن کاملGroup Actions on Median Spaces
We investigate the geometry of median metric spaces. The group-theoretic applications are towards Kazhdan’s property (T) and Haagerup’s property.
متن کاملGroup Actions on Banach Spaces
We survey the recent developments concerning fixed point properties for group actions on Banach spaces. In the setting of Hilbert spaces such fixed point properties correspond to Kazhdan’s property (T). Here we focus on the general, non-Hilbert case, we discuss the methods, examples and several applications. 2010 Mathematics Subject Classification: 20J06, 18H10, 46B99
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: Science China Mathematics
سال: 2019
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-018-9488-9