Functors of finite degree and asymptotic dimension |
|
| Author |
tarasradul@yahoo.co.uk, oshukel@gmail.com
Ivan Franko National University of Lviv
|
| Abstract |
We prove that any finitary weakly normal functor of finite degree preserves the class of metric spaces of finite asymptotic dimension.
|
| Keywords |
functor, finite degree, asymptotic dimension
|
| DOI |
doi:10.30970/ms.31.2.204-206
|
Reference |
1. V. Basmanov. Covariant functors, retracts, and dimension, Dokl. Akad. Nauk SSSR. 271 (1983) №5, 1033--1036 (in Russian).
2. V. Basmanov. Dimension and some functors with finite support, Vestnik Moskov. Univ. Ser. I Mat. Mech. (1981) № 6, 48--50 (in Russian). 3. G. Bell, A. Dranishnikov. Asymptotic dimension, Topology Appl. 155 (2008) №12, 1265--1296. 4. M. Gromov. Asymptotic invariants for infinite groups, LMS Lecture Notes. 182 (1993) №2. 5. E.V. Shchepin. Functors and uncountable powers of compacta, Uspekhi Mat. Nauk. 36 (1981) №3, 3--62. 6. O. Shukel'. Functors of finite degree and asymptotic dimension zero, Mat.~Stud. 29 (2008) №1, 101--107. 7. O. Shukel', M. Zarichnyi. Asymptotic dimension of symmetric powers, Math. Bulletin of NTSh. 5 (2008) 304--311. |
| Pages |
204-206
|
| Volume |
31
|
| Issue |
2
|
| Year |
2009
|
| Journal |
Matematychni Studii
|
| Full text of paper | |
| Table of content of issue |