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math.LO2026
Quadruples and cubes
Shimon Garti
We prove, in , that the -terraced cube relation fails whenever is an uncountable cardinal. The corresponding terraced relation for quadruples fails for every $…
math.LO2026
Splendid extensions
Shimon Garti
Let be a successor cardinal. We force a universe in which every model of PA of size extends to a model M of the same size, where M has no splendid extensions. If there is a…