A locally polypresentable category is similar to a locally presentable category, but where we ask only for the existence of wide pullbacks rather than all small limits.
(locally polypresentable category)
A category is called locally polypresentable if
it is an accessible category;
it has all wide pullbacks.
The second condition is equivalent to:
2’. it has all small polycolimits?.
The definition is due to
Last revised on October 16, 2023 at 07:24:31. See the history of this page for a list of all contributions to it.