Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gorenstein cohomology in abelian categories   We investigate relative cohomology functors on subcategories of abelian
categories via Auslander-Buchweitz approximations and the resulting strict
resolutions. We verify that certain comparison maps between these functors are
isomorphisms and introduce a notion of perfection for this context. Our main
theorem is a balance result for relative cohomology that simultaneously
recovers theorems of Holm and the current authors as special cases.

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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
3
The categories of this paper are: physics
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The categories of this paper are: q-fin