Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
topological spaces
path-connected spaces |
| gptkbp:category |
gptkb:topology
|
| gptkbp:describes |
gptkb:fundamental_group
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:generalizes |
gptkb:van_Kampen's_theorem_for_groupoids
|
| gptkbp:hasApplication |
knot theory
classification of surfaces calculation of fundamental groups of complex spaces |
| https://www.w3.org/2000/01/rdf-schema#label |
Seifert–van Kampen theorem
|
| gptkbp:namedAfter |
gptkb:Egbert_van_Kampen
gptkb:Herbert_Seifert |
| gptkbp:publishedIn |
1933
|
| gptkbp:relatedTo |
fundamental group of a topological space
fundamental groups of open subsets |
| gptkbp:state |
the fundamental group of a space can be computed from the fundamental groups of two overlapping open subsets
|
| gptkbp:usedIn |
gptkb:topology
|
| gptkbp:uses |
group presentations
pushout of groups |
| gptkbp:bfsParent |
gptkb:Algebraic_topology
gptkb:Van_Kampen_theorem gptkb:Fundamental_group |
| gptkbp:bfsLayer |
6
|