Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
Category theory
|
| gptkbp:definedIn |
A continuous map between topological spaces with a homotopy inverse
|
| gptkbp:field |
gptkb:Algebraic_topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Homotopy equivalence
|
| gptkbp:implies |
The spaces have the same homotopy type
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:isWeakerThan |
Homeomorphism
|
| gptkbp:property |
Symmetric
Transitive Reflexive |
| gptkbp:relatedTo |
gptkb:topology
Homotopy theory |
| gptkbp:symbol |
≃
|
| gptkbp:usedIn |
gptkb:Algebraic_topology
Homological algebra Homotopy theory |
| gptkbp:bfsParent |
gptkb:Homotopy_group
|
| gptkbp:bfsLayer |
8
|