邓绿, 杨海波. Brendon同调理论和带转移的预层[J]. 南昌航空大学学报(自然科学版), 2016, 30(3): 8-11. DOI: 10.3969/j.issn.1001-4926.2016.03.002
引用本文: 邓绿, 杨海波. Brendon同调理论和带转移的预层[J]. 南昌航空大学学报(自然科学版), 2016, 30(3): 8-11. DOI: 10.3969/j.issn.1001-4926.2016.03.002
DENG Lv, YANG Hai-bo. Brendon Homology and Presheaf with Transfer[J]. Journal of nanchang hangkong university(Natural science edition), 2016, 30(3): 8-11. DOI: 10.3969/j.issn.1001-4926.2016.03.002
Citation: DENG Lv, YANG Hai-bo. Brendon Homology and Presheaf with Transfer[J]. Journal of nanchang hangkong university(Natural science edition), 2016, 30(3): 8-11. DOI: 10.3969/j.issn.1001-4926.2016.03.002

Brendon同调理论和带转移的预层

Brendon Homology and Presheaf with Transfer

  • 摘要: 从奇异同调理论出发,进一步讨论ROG)-分次的Brendon同调理论,利用范畴张量积的定义,证明了G-流形范畴到阿贝尔范畴的函子FM是预层,进一步证明预层链复形C*ZX)∫M可以用来计算X的Brendon同调群。

     

    Abstract: This paper is based on the singular homology, with the study of RO(G)-graded homology theory, by the category tensor product we show that the functor FM is a presheaf and the complex of presheaves C*(ZX)∫M can be used to compute the Brendon homology of X.

     

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