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Functional Projection and Complexity Reduction
Törnquist (arXiv:1310.3250) proved that if there exists a $\boldsymbolΣ^1_2$ maximal almost disjoint (MAD) family, then there exists a $\boldsymbolΠ^1_1$ MAD family. Since then, several other "complexity reduction" proofs have been found for other combinatorial objects, such as maximal independent f
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