Statements (47)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical Concept
|
| gptkbp:appliesTo |
Chain Complexes
|
| gptkbp:canLeadTo |
Graded Objects
Filtered Objects |
| gptkbp:developedBy |
gptkb:Jean-Pierre_Serre
|
| gptkbp:hasRelatedPatent |
Category Theory
Representation Theory Algebraic_Geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Spectral Sequences
|
| gptkbp:involves |
gptkb:Spectral_Sequence_Spectra
Differential Graded Algebras |
| gptkbp:isCharacterizedBy |
Convergence Conditions
E_ ∞-Term E_2-Term |
| gptkbp:isRelatedTo |
gptkb:Leray_Spectral_Sequence
gptkb:Serre_Spectral_Sequence gptkb:Grothendieck_Spectral_Sequence Cartan-Eilenberg_Theory Spectral_Sequence_of_a_Filtered_Complex |
| gptkbp:isUsedBy |
Study Sheaf Cohomology
Study_Derived_Functors |
| gptkbp:isUsedFor |
Compute_Cohomology_Groups
Compute_Homology_Groups |
| gptkbp:isUsedIn |
gptkb:Quantum_Field_Theory
Topology Mathematical Logic String Theory Noncommutative Geometry Cohomological Dimension Homotopy Theory Moduli Problems Stable Homotopy Theory Derived Categories Combinatorial Algebra Computational Algebraic Geometry Intersection Cohomology Local Cohomology Mathematical_Physics Sheaf_Theory Topological_Data_Analysis Homotopical_Algebra |
| gptkbp:provides |
Computational Tools
|
| gptkbp:relatedTo |
Cohomology
Filtered Complexes |
| gptkbp:standardFeatures |
Exact Sequences
|
| gptkbp:usedIn |
Homological Algebra
Algebraic_Topology |