Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
Abstract simplicial complex |
| gptkbp:category |
SSet
|
| gptkbp:containsElement |
n-simplex
|
| gptkbp:definedIn |
Functor from the simplex category Δ^op to the category of sets
|
| gptkbp:generalizes |
gptkb:Simplicial_complex
|
| gptkbp:hasApplication |
gptkb:Higher_category_theory
Model category theory |
| gptkbp:hasFunctor |
Nerve functor
Singular functor |
| https://www.w3.org/2000/01/rdf-schema#label |
Simplicial set
|
| gptkbp:introduced |
gptkb:Eilenberg
Zilber |
| gptkbp:introducedIn |
1950s
|
| gptkbp:relatedTo |
Geometric realization
Kan complex |
| gptkbp:structure |
Degeneracy maps
Face maps |
| gptkbp:usedIn |
gptkb:Algebraic_topology
Category theory Homotopy theory |
| gptkbp:bfsParent |
gptkb:Simplicial_Complexes
gptkb:Homotopy_group |
| gptkbp:bfsLayer |
8
|