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math.LO2023
Of model completeness and algebraic groups
Daniel Max Hoffmann, Piotr Kowalski, Chieu-Minh Tran +1
We show that if G is a split semisimple algebraic group over a model complete field K, then the groups G(K) and G(K)' (the commutator group which is a ``Chevalley group'' as for ex…
math.LO2023
Non-trivial higher homotopy of first-order theories
Tim Campion, Jinhe Ye
Let be the theory of dense cyclically ordered sets with at least two elements. We determine the classifying space of to be homotopically equivalent to $\mathb…
math.LO2023
Curve-excluding fields
Will Johnson, Jinhe Ye
If is a curve over with genus at least and is empty, then the class of fields of characteristic 0 such that has a mode…