cointersection

English

Etymology

co- +‎ intersection

Noun

cointersection (plural cointersections)

1. (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