USUBA’S PRINCIPLE UB_λ CAN FAIL AT SINGULAR CARDINALS

Journal of Symbolic Logic（2023）

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摘要

We answer a question of Usuba by showing that the combinatorial principle $\mathrm {UB}_\lambda $ can fail at a singular cardinal. Furthermore, $\lambda $ can be taken to be $\aleph _\omega .$

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USUBA’S PRINCIPLE UBλ CAN FAIL AT SINGULAR CARDINALS

USUBA’S PRINCIPLE UB_λ CAN FAIL AT SINGULAR CARDINALS