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Pronunciation varies by accent · noun
(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..
the left adjoint […] preserves direct factors, their cointersections, their complements and thus their counions
Use cointersection when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Cointersection means (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..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
the left adjoint […] preserves direct factors, their cointersections, their complements and thus their counions
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