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math.LO 1

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2024 1

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CONDITIONAL 1

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Biba's trick, with applications

math.LO · 2024-12-12 · conditional · novelty 8.0

Assuming OCA_T and MA(σ-linked), every homomorphism from P(N) into a quotient by a countably 80-determined ideal has a continuous lifting on a nonmeager ideal, improving PFA-based results and removing MA for countably generated ideals.

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  • Biba's trick, with applications math.LO · 2024-12-12 · conditional · none · ref 6

    Assuming OCA_T and MA(σ-linked), every homomorphism from P(N) into a quotient by a countably 80-determined ideal has a continuous lifting on a nonmeager ideal, improving PFA-based results and removing MA for countably generated ideals.