Arnold's classification of singularities
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:basisFor |
equivalence of function germs
|
| gptkbp:describes |
simple singularities
|
| gptkbp:field |
singularity theory
catastrophe theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Arnold's classification of singularities
|
| gptkbp:includes |
A-D-E classification
bimodal singularities simple critical points unimodal singularities |
| gptkbp:introducedIn |
1970s
|
| gptkbp:notableFor |
gptkb:E_8_singularity
gptkb:E_6_singularity gptkb:E_7_singularity A_k singularities D_k singularities |
| gptkbp:proposedBy |
gptkb:Vladimir_Arnold
|
| gptkbp:relatedTo |
gptkb:Dynkin_diagrams
moduli spaces catastrophe theory simple Lie algebras versal deformations |
| gptkbp:usedIn |
gptkb:algebraic_geometry
differential topology singularity theory |
| gptkbp:bfsParent |
gptkb:E_8_singularity_theory
|
| gptkbp:bfsLayer |
8
|