Journal of East China Normal University(Natural Science) ›› 2022, Vol. 2022 ›› Issue (6): 44-53.doi: 10.3969/j.issn.1000-5641.2022.06.006

• Mathematics • Previous Articles     Next Articles

Finite coarse asymptotic property C-decomposition complexity

Guoqiang LI()   

  1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China
  • Received:2021-03-23 Online:2022-11-25 Published:2022-11-22

Abstract:

This paper establishes a coarse version of finite asymptotic property C-decomposition complexity in the context of coarse spaces. In particular, permanence properties of finite asymptotic property C-decomposition complexity are studied, and it is shown that finite coarse asymptotic property C-decomposition complexity implies coarse property A. In addition, the paper explores coarse property C and coarse decomposition complexity.

Key words: coarse geometry, finite asymptotic property C-decomposition complexity, property A, asymptotic property C, finite decomposition complexity

CLC Number: