Cumulative powers unify direct powers and ultrapowers via quotients while preserving a specific fragment of first-order logic, with an application to constructing the surreal numbers.
Uniform extension operators for models
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Hierarchies of direct powers, ultrapowers and cumulative powers
Cumulative powers unify direct powers and ultrapowers via quotients while preserving a specific fragment of first-order logic, with an application to constructing the surreal numbers.