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math.LO2026
On Cohesive Products of Fields
Rumen Dimitrov, Valentina Harizanov, Henry J. Klatt +1
We develop the foundations of effective ultraproducts of fields and their Galois groups using the methods of computability theory. These computability-theoretic analogs of ultrapro…
math.LO2023
Cohesive Powers of Structures
Valentina Harizanov, Keshav Srinivasan
A cohesive power of a structure is an effective analog of the classical ultrapower of a structure. We start with a computable structure, and consider its countable ultrapower over…