| －复形的X－同调群和X＇－上同调群的－重分不变性 |
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| 引用本文： | 张增喜.－复形的X－同调群和X＇－上同调群的－重分不变性[J].首都师范大学学报(自然科学版),1995(2). |
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| 作者姓名： | 张增喜 |
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| 作者单位： | 首都师范大学数学系 |
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| 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，…）．
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| 关 键 词： | －复形，－重分（＇－重分上）链映射，－标准（＇－标准上）链映射， －（＇－上）链同伦，X |
The Invariances of X-Homology Groups and X'-Cohomology Groups of -Complexes for -Subdivisions |
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| Zhang Zengxi.The Invariances of X-Homology Groups and X''''-Cohomology Groups of -Complexes for -Subdivisions[J].Journal of Capital Normal University(Natural Science Edition),1995(2). |
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| Authors: | Zhang Zengxi |
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| Abstract: | 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. |
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| Keywords: | complex -subdivision ( '-subdivision co-) chain map -standard ( '-standard co-) chain map X- (X'-co) chain homotopy |
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