Sökning: "spektralsekvenser"

Hittade 2 uppsatser innehållade ordet spektralsekvenser.

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

3. 2. Themod p Cohomology of  the ProjectiveUnitary Group

   Master-uppsats, KTH/Matematik (Avd.)

   Författare :Isak Johansson; [2018]
   Nyckelord :;

   Sammanfattning : We begin with an introduction to spectral sequences, in particular, we present how a spectral sequence can arise from an exact couple, state and construct the Serre spectral sequence, mention some of the properties of the mod p cohomology and state the dual Eilenberg-Moore spectral sequence. Fiber bundles, together with the concept of pullback bundles, principal bundles, classifying spaces and Chern classes are also discussed to lay a foundation for our results. LÄS MER