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We have ’container’ as a redirect for polynomial functor, with the warning in the text that
The data , , and that specify a polynomial functor is sometimes referred to as a container (or an indexed container, with container reserved for the case ). Other times container is used as a synonym for “polynomial functor”.
Has a standard use emerged? In which case we might want a separate page, so that we can talk about variants, such as the ’directed containers’ of
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