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math.LO2025
Large implies henselian
Will Johnson, Chieu-Minh Tran, Erik Walsberg +1
Fix a field . We show that is large if and only if some elementary extension of is the fraction field of a henselian local domain which is not a field. The proof uses a…
math.CO2025
On the shatter function of semilinear set systems
Abdul Basit, Chieu-Minh Tran
We show that the shatter function of a semilinear set system on is asymptotic to a polynomial. This confirms, for the structure , a conjecture of…