－复形的X－同调群和X＇－上同调群的－重分不变性  

The Invariances of X-Homology Groups and X'-Cohomology Groups of -Complexes for -Subdivisions

作　　者：张增喜[1] 

机构地区：[1]首都师范大学数学系

出　　处：《首都师范大学学报（自然科学版）》1995年第2期1-8,共8页Journal of Capital Normal University：Natural Science Edition

摘　　要：在本文中引进了－复形，－重分等一系列有关概念，进而证明了－复形的Ｘ－同调群和Ｘ’－上同调群的－重分不变性，即－复形的ｓ－维Ｘ－同调群和ｓ－维Ｘ＇－上同调群分别与－重分后的－复形的ｓ－维Ｘ－同调群和ｓ－维Ｘ＇－上同调群同构（ｓ＝０，１，…）．In this paper, we introduce the concepts of-complex,-subdivision etc. and prove the invariances of X-homology groups and X'-cohomology groups of-complexes for -subdivisions, i. e. s-X-homology groups and s-X'-cohomology groups of-complexes are isomorphic to s-X-nomology groups and s-X'-cohomohogy groups of-complexes-subdivided respectively.

关 键 词：T-复形 T-重分 链映射 同调群 上同调群 

分 类 号：O189.22[理学—数学]