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Homology and cohomology with compact supports for \(q\)-convex spaces. (English) Zbl 0758.32008

The author gives elementary proofs of basic vanishing results for homology and cohomology with compact supports of \(q\)-complete spaces. Also, new finiteness results are obtained. Some results were known for the Stein \((q=0)\) case.

MSC:

32F10 \(q\)-convexity, \(q\)-concavity
32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results
32L20 Vanishing theorems
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