Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
topological spaces
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:generalizes |
gptkb:Hurewicz_homomorphism
|
| gptkbp:hasVersion |
gptkb:relative_Hurewicz_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hurewicz theorem
|
| gptkbp:namedAfter |
gptkb:Witold_Hurewicz
|
| gptkbp:publicationYear |
1935
|
| gptkbp:publishedIn |
gptkb:Fundamenta_Mathematicae
|
| gptkbp:relatedTo |
homology groups
homotopy groups |
| gptkbp:state |
For a simply connected space, the first nontrivial homotopy group is isomorphic to the corresponding homology group.
|
| gptkbp:bfsParent |
gptkb:Algebraic_topology
gptkb:Witold_Hurewicz gptkb:Homotopy_type_theory |
| gptkbp:bfsLayer |
6
|