# cointersection

## EnglishEdit

### EtymologyEdit

*co-* + *intersection*

### NounEdit

**cointersection** (*plural* **cointersections**)

- (mathematics) A family of behavioural equivalences which factors through all elements of a second specified family of behavioural equivalences and for which any morphism that factors through the second family of behavioural equivalences also factors through its elements.
**1986**, Yves Diers,*Categories of Boolean sheaves of simple algebras*- the left adjoint […] preserves direct factors, their
**cointersections**, their complements and thus their counions

- the left adjoint […] preserves direct factors, their