A category is locally cartesian if each of its slice categories is a cartesian monoidal category, meaning that has all finite products. Another way to say this is that has all finite fibred products or equivalently that has all pullbacks.
A finitely complete category is precisely a locally cartesian category that has a terminal object.
Last revised on July 18, 2022 at 05:26:53. See the history of this page for a list of all contributions to it.