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forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.
6
votes
1
answer
562
views
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 …
3
votes
1
answer
268
views
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 …