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Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.
3
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answer
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Ultra*powers* in the category of structures and elementary embeddings
This is based on a few previous questions.
Can one characterize ultrapowers in the category of L-structures (modeling a fixed complete theory, say) and elementary embeddings?
Previous posts showed tha …
6
votes
1
answer
562
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Ultraproducts in the category of structures and elementary embeddings
A previous question on the categorical nature of ultraproducts had great answers, mostly categorically characterizing ultraproducts in the category of $L$-structures and homomorphisms for a fixed sign …