Long exact sequence of homotopy groups
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:fiber
pair of topological spaces |
| gptkbp:category |
gptkb:topology
integer sequence |
| gptkbp:describes |
relationship between homotopy groups of spaces in a fibration
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:firstAppearance |
1950s
|
| gptkbp:form |
... → π_n(F) → π_n(E) → π_n(B) → π_{n-1}(F) → ...
|
| https://www.w3.org/2000/01/rdf-schema#label |
Long exact sequence of homotopy groups
|
| gptkbp:introduced |
gptkb:Jean-Pierre_Serre
|
| gptkbp:involves |
homotopy groups
|
| gptkbp:relatedTo |
homology
homotopy fiber short exact sequence |
| gptkbp:sequence |
exact sequence
long sequence |
| gptkbp:usedFor |
compute homotopy groups of spaces
|
| gptkbp:usedIn |
gptkb:topology
|
| gptkbp:bfsParent |
gptkb:Homotopy_group
|
| gptkbp:bfsLayer |
8
|