Abstract
In the first section we recall the simplest facts of homological algebra in an abelian category A. The second section introduces the triangulated categories as a generalization of the homotopical categories K*(A). The main aim of this chapter is to introduce the derived categories and the derived functors, and this is done in the third section. The last section is devoted to a key example, the derived functor of Hom.
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© 2004 Springer-Verlag Berlin Heidelberg
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Dimca, A. (2004). Derived Categories. In: Sheaves in Topology. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18868-8_1
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DOI: https://doi.org/10.1007/978-3-642-18868-8_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20665-1
Online ISBN: 978-3-642-18868-8
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