comma category en · NOUN
Meanings
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A category built out of a pair of functors that have the same codomain.
Given a pair of functors S:𝒜→𝒞 and T:ℬ→𝒞, objects of the comma category S↓T are arrows h:S(A)→T(B) parametrized by triples (A, B, h), and given morphisms f:A→A' and g:B→B', then a morphism of the said comma category is a commuting square parametrized by the pair (f, g) and spanning the area from h to h':S(A')→T(B') and from S(f) to T(g).
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| comma categories | Number=Plur | lexicographic |
Hyponyms
slice category · coslice category · arrow category
Translations (6)
ko 쉼표 범주 (Translations) · fi kommakategoria (Translations) · fi yhdyskategoria (Translations) · de Kommakategorie (Translations) · es categoría coma (Translations) · ru категория запятой (Translations)