On asymptotic dimension with linear control

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On asymptotic dimension of groups

We prove a version of the countable union theorem for asymptotic dimension and we apply it to groups acting on asymptotically finite dimensional metric spaces. As a consequence we obtain the following finite dimensionality theorems. A) An amalgamated product of asymptotically finite dimensional groups has finite asymptotic dimension: asdimA ∗C B <∞. B) Suppose that G′ is an HNN extension of a g...

متن کامل

On Asymptotic Dimension of Countable Abelian Groups

We compute the asymptotic dimension of the rationals given with an invariant proper metric. Also we show that a countable torsion abelian group taken with an invariant proper metric has asymptotic dimension zero.

متن کامل

On Transfinite Extension of Asymptotic Dimension

We prove that a transfinite extension of asymptotic dimension asind is trivial. We introduce a transfinite extension of asymptotic dimension asdim and give an example of metric proper space which has transfinite infinite dimension. 0. Asymptotic dimension asdim of a metric space was defined by Gromov for studying asymptotic invariants of discrete groups [1]. This dimension can be considered as ...

متن کامل

On the K-theory of Groups with Finite Asymptotic Dimension

It is proved that the assembly maps in algebraic Kand L-theory with respect to the family of finite subgroups is injective for groups Γ with finite asymptotic dimension that admit a finite model for EΓ. The result also applies to certain groups that admit only a finite dimensional model for EΓ. In particular, it applies to discrete subgroups of virtually connected Lie groups.

متن کامل

ذخیره 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: 2014

ISSN: 0166-8641

DOI: 10.1016/j.topol.2014.05.006