华东师范大学学报（自然科学版） >

2022 , Vol. 2022 >Issue 6: 44 - 53

DOI: https://doi.org/10.3969/j.issn.1000-5641.2022.06.006

数学

有限粗渐近性质C-分解复杂度

  • 李国强
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  • 贵州财经大学 数统学院, 贵阳　550025
李国强, 男, 博士, 讲师, 研究方向为泛函分析. E-mail: guoqiangli@mail.gufe.edu.cn

收稿日期: 2021-03-23

  网络出版日期: 2022-11-22

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)

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Finite coarse asymptotic property C-decomposition complexity

  • Guoqiang LI
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  • School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang　550025, China

Received date: 2021-03-23

  Online published: 2022-11-22

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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

本文引用格式

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 . DOI: 10.3969/j.issn.1000-5641.2022.06.006

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

参考文献

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