Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:convergesTo |
Associated graded object
|
| gptkbp:example |
gptkb:Adams_spectral_sequence
gptkb:Serre_spectral_sequence gptkb:Leray_spectral_sequence gptkb:Grothendieck_spectral_sequence gptkb:Eilenberg–Moore_spectral_sequence |
| gptkbp:field |
gptkb:Algebraic_topology
gptkb:Algebraic_geometry Homological algebra |
| gptkbp:has_page |
E_r
|
| gptkbp:hasProperty |
Convergence
Differentials Filtration degree Successive approximations |
| https://www.w3.org/2000/01/rdf-schema#label |
Spectral sequences
|
| gptkbp:introduced |
gptkb:Jean_Leray
1940s |
| gptkbp:notation |
(E_r, d_r)
|
| gptkbp:relatedTo |
gptkb:Exact_couple
gptkb:Long_exact_sequence Filtration |
| gptkbp:used_in |
gptkb:Algebraic_K-theory
gptkb:Sheaf_cohomology gptkb:Fibrations Derived functors Group cohomology Stable homotopy theory |
| gptkbp:usedFor |
Computing cohomology groups
Computing homology groups |
| gptkbp:bfsParent |
gptkb:Derived_category
gptkb:Sheaf_cohomology |
| gptkbp:bfsLayer |
6
|