A model with everything except for a well-ordering of the reals
classification
🧮 math.LO
keywords
mathsfmodelwellbasisburstinconstructcontainingcontinuum
read the original abstract
We construct a model of $\mathsf{ZF} + \mathsf{DC}$ containing a Luzin set, a Sierpi\'{n}ski set, as well as a Burstin basis but in which there is no a well ordering of the continuum.
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