Asymptotic dimension

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

Asymptotic Dimension in Będlewo

This survey was compiled from lectures and problem sessions at the International Conference on Geometric Topology at the Mathematical Research and Conference Center in Będlewo, Poland in July 2005.

متن کامل

finite asymptotic dimension

Generally we use definitions and notation as in [D]. In particular, (W,S) is a finitely generated Coxeter system, C is a building with Weyl group W , |C| is the Davis realization of C. We will, however, confuse the Coxeter group and its abstract Coxeter complex, denoting both by W ; in particular, |W | denotes the Davis complex. The W -valued distance in C will be denoted δC , while δ will be t...

متن کامل

Hausdorff Dimension and Asymptotic Cycles

We carry out a multifractal analysis for the asymptotic cycles for compact Riemman surfaces of genus g ≥ 2. This describes the set of unit tangent vectors for which the associated orbit has a given asymptotic cycle in homology.

متن کامل

Coarse geometry and asymptotic dimension

We prove that two spaces, whose coarse structures are induced by metrisable compactifications, are coarsely equivalent if and only if their (Higson) coronas are homeomorphic. We introduce translation C∗-algebras for coarse spaces which admit a countable, uniformly bounded cover using projection-valued measures. This was already done in [Roe03]. Here we give a more complete exposition on the sub...

متن کامل

Cohomological Approach to Asymptotic Dimension

We introduce the notion of asymptotic cohomology based on the bounded cohomology and define cohomological asymptotic dimension asdimZ X of metric spaces. We show that it agrees with the asymptotic dimension asdimX when the later is finite. Then we use this fact to construct an example of a metric space X of bounded geometry with finite asymptotic dimension for which asdim(X × R) = asdimX. In pa...

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: 2008

ISSN: 0166-8641

DOI: 10.1016/j.topol.2008.02.011