well-pointed English

Meaning well-pointed meaning

What does well-pointed mean?

well-pointed adjective

— (category theory) Said of a category or topos: that it has a terminal object (or that it has no zero object, if it is a topos) and in which any distinct pair of parallel morphisms can be distinguished by their distinct compositions with a global element of their domain; i.e. any pair of parallel morphisms is distinct if and only if there is a global element in their domain that does not equalize them.