Brendon同调理论和带转移的预层
Brendon Homology and Presheaf with Transfer
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摘要: 从奇异同调理论出发,进一步讨论RO(G)-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F∫M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 F∫M is a presheaf and the complex of presheaves C*(ZX)∫M can be used to compute the Brendon homology of X.