Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
Obstructions to extending partial solutions to global solutions
|
| gptkbp:field |
gptkb:Algebraic_topology
gptkb:Algebraic_geometry Homotopy theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Obstruction theory
|
| gptkbp:notableContributor |
gptkb:Jean-Pierre_Serre
gptkb:Henri_Cartan gptkb:John_Milnor gptkb:Norman_Steenrod |
| gptkbp:notableFor |
gptkb:Deformation_theory
Classification of maps up to homotopy Existence of sections in fiber bundles Extension problems in cohomology Obstructions in Postnikov towers Obstructions in algebraic stacks Obstructions in bundle theory Obstructions in classifying spaces Obstructions in cobordism theory Obstructions in complex geometry Obstructions in deformation of algebras Obstructions in deformation of complex structures Obstructions in deformation of group actions Obstructions in deformation of maps Obstructions in deformation of modules Obstructions in deformation of morphisms Obstructions in deformation of principal bundles Obstructions in deformation of sheaves Obstructions in deformation of vector bundles Obstructions in deformation quantization Obstructions in descent theory Obstructions in higher category theory Obstructions in moduli problems Obstructions in rational homotopy theory Obstructions in sheaf cohomology Obstructions in spectral sequences Obstructions in surgery theory Obstructions in symplectic geometry Obstructions to splitting exact sequences Obstructions in deformation of algebraic structures Obstructions to constructing global objects from local data |
| gptkbp:relatedConcept |
gptkb:Homotopy_group
gptkb:Cohomology Spectral sequence Characteristic class |
| gptkbp:usedFor |
Classifying fiber bundles
Classifying principal bundles Classifying vector bundles Lifting problems in topology |
| gptkbp:bfsParent |
gptkb:Sheaf_cohomology
|
| gptkbp:bfsLayer |
6
|