Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
algebraic operation
|
| gptkbp:describes |
operation on homotopy groups
|
| gptkbp:domain |
homotopy groups of topological spaces
|
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Whitehead product
|
| gptkbp:introducedIn |
1941
|
| gptkbp:namedAfter |
gptkb:J._H._C._Whitehead
|
| gptkbp:notation |
[α, β]
|
| gptkbp:operator |
bilinear
graded Lie bracket |
| gptkbp:relatedTo |
gptkb:Samelson_product
gptkb:Whitehead_bracket |
| gptkbp:satisfies |
Jacobi identity (up to sign)
graded anti-commutativity |
| gptkbp:usedIn |
homotopy theory
study of higher homotopy groups |
| gptkbp:bfsParent |
gptkb:George_W._Whitehead
gptkb:J._H._C._Whitehead gptkb:Hopf_invariant gptkb:John_H._C._Whitehead |
| gptkbp:bfsLayer |
6
|