Sökning: "deriverade kategorier"

Hittade 1 uppsats innehållade orden deriverade kategorier.

  1. 1. Spectral sequences for composite functors

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Adam Erlandsson; [2022]
    Nyckelord :Algebraic topology; homological algebra; spectral sequences; fibrations; derived functors; derived categories; Algebraisk topologi; homologisk algebra; spektralsekvenser; fibreringar; deriverade funktorer; deriverade kategorier;

    Sammanfattning : Spectral sequences were developed during the mid-twentieth century as a way of computing (co)homology, and have wide uses in both algebraic topology and algebraic geometry.  Grothendieck introduced in his Tôhoku paper the Grothendieck spectral sequence, which given left exact functors $F$ and $G$ between abelian categories, uses the right-derived functors of $F$ and $G$ as initial data and converges to the right-derived functors of the composition $G\circ F. LÄS MER