Every ordinal α < ω₂ is the order type of some Novikov-ordered system of uniform Borel sets, positively answering Luzin's 1935 problem.
Notes Log.Cambridge: Cambridge University Press; Ithaca, NY: Association for Symbolic Logic (ASL), 2013
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On Petr Novikov's problem of ordered systems of uniform sets
Every ordinal α < ω₂ is the order type of some Novikov-ordered system of uniform Borel sets, positively answering Luzin's 1935 problem.