Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
CW complexes
|
| gptkbp:concerns |
gptkb:homotopy_equivalence
homotopy groups |
| gptkbp:field |
gptkb:topology
|
| gptkbp:namedAfter |
gptkb:J._H._C._Whitehead
|
| gptkbp:publicationYear |
1949
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_National_Academy_of_Sciences
|
| gptkbp:relatedTo |
gptkb:Whitehead_group
homotopy theory |
| gptkbp:sentence |
A continuous map between connected CW complexes that induces isomorphisms on all homotopy groups is a homotopy equivalence.
|
| gptkbp:bfsParent |
gptkb:Alfred_Whitehead
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Whitehead's theorem
|