A categorical approach to internality

Details A categorical approach to internality A categorical approach to internality

2010-12-14

arxiv.org/abs/1012.3185v1

Mathematics

Logic

18 pages. Part of the results here previously appeared in arxiv:0908.0604

Scientific paper

Model theoretic internality provides conditions under which the group of
automorphisms of a model over a reduct is itself a definable group. In this
paper we formulate a categorical analogue of the condition of internality, and
prove an analogous result on the categorical level. The model theoretic
statement is recovered by considering the category of definable sets.

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