Derived and triangulated categories

  • Fernando Sancho
Part of the Progress in Mathematics book series (PM, volume 276)


A category is said to be small if the classes of both its objects and its morphisms are sets. A category that is not small is said to be large. A category ℭ is locally small if for any pair of objects A and B of ℭ the class Hom(A,B) is a set. Many of the categories we will consider in this book (the categories of sets, groups, rings, modules over a ring, sheaves on a topological spaces, etc.) are locally small.


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Copyright information

© Birkhäuser Boston 2009

Authors and Affiliations

  • Fernando Sancho
    • 1
  1. 1.Dipartimento di MatemáticasUniversidad de SalamancaSalamancaSpain

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