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A topos is a category that behaves very much like the category of sets and possesses a good notion of localization. Related to topos are: sheaves, presheaves, descent, stacks, localization,...

7 votes

What is the "correct" category of multisets

For purposes not obviously related to the question we (Ekedahl and Salomonsson - Strict polynomial functions and multisets) considered the following definition of maps of (finite) multisets: In the ca …
Torsten Ekedahl's user avatar
29 votes
Accepted

What do coherent topoi have to do with completeness?

They are indeed formally equivalent. See for instance Johnstone: Topos theory, p. 243 but here is a quick explanation. Given a topos $T$ one may define a geometric theory associated to it consisting o …
Torsten Ekedahl's user avatar