Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:contrastsWith |
gptkb:oplax_monoidal_functor
gptkb:strong_monoidal_functor strict monoidal functor |
| gptkbp:definedIn |
functor F: C → D between monoidal categories
|
| gptkbp:field |
gptkb:category_theory
|
| gptkbp:generalizes |
gptkb:strong_monoidal_functor
|
| gptkbp:hasProperty |
preserves monoidal structure up to morphism
|
| gptkbp:hasSampleData |
natural transformation φ_{A,B}: F(A) ⊗ F(B) → F(A ⊗ B)
morphism φ_0: I_D → F(I_C) |
| https://www.w3.org/2000/01/rdf-schema#label |
lax monoidal functor
|
| gptkbp:relatedTo |
gptkb:Functor
gptkb:monoidal_category |
| gptkbp:satisfies |
coherence conditions
|
| gptkbp:usedIn |
gptkb:topology
homological algebra higher category theory |
| gptkbp:bfsParent |
gptkb:monoidal_functor
|
| gptkbp:bfsLayer |
7
|