A note on cohomological localization

Mathematics – Category Theory

Scientific paper

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8 pages; based on joint work with Dave Benson and Srikanth Iyengar

Scientific paper

Given a cohomological functor from a triangulated category to an abelian category, we construct under appropriate assumptions for any localization functor of the abelian category a lift to a localization functor of the triangulated category. This discussion of Bousfield localization is combined with a basic introduction to the concept of localization for arbitrary categories.

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