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Transcendence bases, well-orderings of the reals and the axiom of choice
Published 6 Jan 2019 in math.LO | (1901.01508v2)
Abstract: We prove that $ZF+DC+"$there exists a transcendence basis for the reals$"+"$there is no well-ordering of the reals$"$ is consistent relative to $ZFC$. This answers a question of Larson and Zapletal.
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