Cech上同调的单纯复形表示  

The Simplicial Complex Representation of The Cech Cohomology

作　　者：黄海 汪楠 杨海波[1] HUANG Hai;Wang Nan;YANG Hai-Bo(School of Mathematics and Information Science,Nanchang Hangkong University,Nanchang 330063,China;Jiangxi Medical College,Shangrao Jiangxi,334000,China)

机构地区：[1]南昌航空大学数学与信息科学学院,南昌330063 [2]江西医学高等专科学校,江西上饶334000

出　　处：《南昌航空大学学报（自然科学版）》2021年第1期39-41,共3页Journal of Nanchang Hangkong University(Natural Sciences)

基　　金：国家自然科学基金(11461047)。

摘　　要：本文根据Cech上同调的相关知识和各学者对Cech上同调的定义,从代数的角度出发,利用单纯形方法对拓扑空间的Cech上同调进行讨论,通过构造函子,给出了Cech上同调的单纯复形表示,证明Cech上链复形就是一类特殊的单纯复形,从而Cech上同调是单纯上同调。In this paper,based on the knowledge of the Cech cohomology and the definition of the Cech cohomology by various scholars,from the perspective of algebra,the simplicial method is used to discuss the Cech cohomology of topological space.By constructing the functor,the simplicial complex representation of the Cech cohomology is given,and it is proved that Cech complex is a special type of simplicial complex,so the Cech cohomology is the simplicial cohomology.

关 键 词：Cech上同调 单纯形方法 单纯复形 

分 类 号：O153.3[理学—数学]