Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appearsIn |
gptkb:Topological_spaces
Model categories Simplicial sets |
| gptkbp:contrastsWith |
gptkb:Homotopy_limit
|
| gptkbp:definedIn |
Diagram of spaces
|
| gptkbp:field |
gptkb:Algebraic_topology
|
| gptkbp:generalizes |
gptkb:Colimit
|
| gptkbp:hasComputationMethod |
Bar construction
Bousfield–Kan formula Nerve of a category |
| gptkbp:heldBy |
Derived functor of colimit
|
| https://www.w3.org/2000/01/rdf-schema#label |
Homotopy colimit
|
| gptkbp:introduced |
gptkb:Daniel_Quillen
|
| gptkbp:isFunctorial |
Yes
|
| gptkbp:preserves |
gptkb:Homotopy_equivalence
Weak equivalences |
| gptkbp:relatedTo |
gptkb:Colimit
Homotopy theory |
| gptkbp:usedIn |
Category theory
Homological algebra Stable homotopy theory |
| gptkbp:bfsParent |
gptkb:Homotopy_group
|
| gptkbp:bfsLayer |
8
|