Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
topological spaces
|
| gptkbp:category |
group theory
|
| gptkbp:describes |
gptkb:fundamental_group
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:generalizes |
gptkb:Seifert–van_Kampen_theorem
|
| gptkbp:hasApplication |
knot theory
calculation of fundamental group of circles calculation of fundamental group of wedges of spaces |
| https://www.w3.org/2000/01/rdf-schema#label |
Van Kampen theorem
|
| gptkbp:namedAfter |
gptkb:Egbert_van_Kampen
|
| gptkbp:publicationYear |
1933
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
fundamental group of a space
fundamental groups of open covers |
| gptkbp:requires |
intersection of open sets is path-connected
space is union of path-connected open sets |
| gptkbp:usedFor |
computing fundamental groups
|
| gptkbp:usedIn |
algebraic topology textbooks
|
| gptkbp:bfsParent |
gptkb:Karl_Van_Kampen
|
| gptkbp:bfsLayer |
5
|