悄悄移动 发表于 2025-3-25 03:26:09
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Functors of Complexes,ants. We study this question (§§ 2–7), at least if . is the (dimension-wise) prolongation of an additive functor .. We find that for every abelian group . there is, essentially, one covariant and one contravariant . such that .. The resulting groups . are the .. The functors . are also useful in stu消散 发表于 2025-3-26 02:57:36
Products, (i) Relations between ® and Hom which are familiar from (multi-)linear algebra; (ii) the mappings α: . and α: . Hom(. Hom(. of VI, 9.11, 10.8; (III) the Eilenberg Zilber mappings VI, 12.1—plus, of course, the standard functorial properties of (co-)homology. The significance of products lies in the核心 发表于 2025-3-26 07:11:32
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Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/l/image/583473.jpgconstitute 发表于 2025-3-26 14:39:22
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Singular Homology,The . consists of all points x∈IRq+1 such that. where IR. denotes euclidean space and {xi} are the coordinates of . ∈ IR.. Clearly . is closed and bounded, hence .. Because of (b) we can replace (a) by ..