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math.LO2024
On the undefinability of pathological Banach spaces
Clovis Hamel, Franklin D. Tall
Motivated by Tsirelson's implicitly defined pathological Banach space, T. Gowers asked whether explicitly defined Banach spaces must include either or some . J. Iovin…
math.LO2024
The Second-order Version of Morley's Theorem on the Number of Countable Models does not Require Large Cardinals
Franklin D. Tall, Jing Zhang
The consistency of a second-order version of a theorem of Morley on the number of countable models was proved in arXiv:2107.07636 with the aid of large cardinals. We here dispense…