有限粗渐近性质C-分解复杂度

doi:10.3969/j.issn.1000-5641.2022.06.006

华东师范大学学报（自然科学版） ›› 2022, Vol. 2022 ›› Issue (6): 44-53.doi: 10.3969/j.issn.1000-5641.2022.06.006

有限粗渐近性质C-分解复杂度

李国强()

贵州财经大学数统学院, 贵阳　550025

收稿日期:2021-03-23 出版日期:2022-11-25 发布日期:2022-11-22
作者简介:李国强, 男, 博士, 讲师, 研究方向为泛函分析. E-mail: guoqiangli@mail.gufe.edu.cn
基金资助:
贵州省科技计划项目(黔科合基础-ZK[2022]一般022); 2022年度贵州财经大学校级项目(2022KYQN12)

Finite coarse asymptotic property C-decomposition complexity

Guoqiang LI()

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

摘要/Abstract

摘要：

用粗空间的语言定义了粗版本的有限渐近性质C-分解复杂度. 在粗结构的意义下, 研究了有限粗渐近性质C-分解复杂度的一些保持性质, 并证明了有限粗渐近性质C-分解复杂度是粗性质A的充分条件. 最后, 给出了粗性质C和粗分解复杂度的一些补充知识.

关键词: 粗几何, 有限渐近性质C-分解复杂度, 性质A, 渐近性质C, 有限分解复杂度

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

中图分类号:

O177.99

李国强. 有限粗渐近性质C-分解复杂度[J]. 华东师范大学学报（自然科学版）, 2022, 2022(6): 44-53.

Guoqiang LI. Finite coarse asymptotic property C-decomposition complexity[J]. Journal of East China Normal University(Natural Science), 2022, 2022(6): 44-53.

参考文献 12

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有限粗渐近性质C-分解复杂度

Finite coarse asymptotic property C-decomposition complexity

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