Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
CW complexes
|
| gptkbp:category |
gptkb:topology
|
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Whitehead theorem
|
| gptkbp:namedAfter |
gptkb:J._H._C._Whitehead
|
| gptkbp:relatedTo |
gptkb:homotopy_equivalence
homotopy theory homotopy group |
| gptkbp:sentence |
A continuous map between connected CW complexes that induces isomorphisms on all homotopy groups is a homotopy equivalence.
|
| gptkbp:yearProposed |
1949
|
| gptkbp:bfsParent |
gptkb:Algebraic_topology
gptkb:CW_complex gptkb:J._H._C._Whitehead gptkb:John_H._C._Whitehead |
| gptkbp:bfsLayer |
6
|