Locally finitely presented categories of sheaves |
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Authors: | Wolfgang Rump |
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Institution: | Institute for Algebra and Number Theory, University of Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany |
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Abstract: | Let A be a locally finitely presented Grothendieck category. It is shown that a class of localizations of A in the sense of Bousfield is again locally finitely presented. The criterion is applied to torsion-free classes in A, sheaves and separated presheaves on a generalized ringed space, and representations of partially ordered sets. |
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Keywords: | Primary 18C35 18E05 18A35 18A40 16D90 18F20 |
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