One topos, many sites

Details One topos, many sites One topos, many sites

2009-07-14

arxiv.org/abs/0907.2361v1

Mathematics

Category Theory

19 pages

Scientific paper

We give characterizations, for various fragments of geometric logic, of the
class of theories classified by a locally connected (resp. connected and
locally connected, atomic, compact, presheaf) topos, and exploit the existence
of multiple sites of definition for a given topos to establish some properties
of quotients of theories of presheaf type.

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