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Titlebook: Cohomology of Sheaves; Birger Iversen Textbook 1986 Springer-Verlag Berlin Heidelberg 1986 Characteristic class.Chern class.Homotopy.cohom

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B. A. Zehnbauer,B. D. Freeman,T. G. BuchmanIn this section we consider a fixed commutative ring k. Let us recall that the inclusion i: Z → X of a closed subspace gives rise to two functors . which are mutually adjoints . The functor i. is left exact and carries injectives into injectives. We shall study the derived functor R.i., p ∈ℤ.
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A. E. Baue,G. Berlot,J.-L. VincentThroughout this section we consider a commutative no- etherian ring k and let K* denote an injective resolution of k in the category of k-modules. For a complex C* of k-modules we put . For a locally compact space X we define . the i’th . with coefficients in k.
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Sheaf Theory,By a . we understand a non-empty set I equipped with a preorder, i.e. a relation satisfying.subject to the condition that for any a∈ I and b ∈ I there exists c∈I with a ≤ c and b ≤ c.
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