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Shelah's Main Gap and the generalized Borel-reducibility
We answer one of the main questions in generalized descriptive set theory, the Friedman-Hyttinen-Kulikov conjecture on the Borel reducibility of the Main Gap. We show a correlation between Shelah's Main Gap and generalized Borel reducibility notions of complexity. For any $κ$ satisfying $κ=λ^+=2^λ$
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