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math.LO2025
Dependent Types Simplified
Tristan Bice
We present two logical systems based on dependent types that are comparable to ZFC, both in terms of simplicity and having natural set theoretic interpretations. Our perspective is…
math.MG2025
Oscillation stability by the Carlson-Simpson theorem
Tristan Bice, Noé de Rancourt, Jan Hubička +1
We prove oscillation stability for the Banach space : every weak-* Borel, uniformily continuous map from the unit sphere of this space to a compact metric space can be…