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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
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What are the 'wonderful consequences' following from the existence of a minimal dense subspace?
An example of an application of this appeared in Alex Simpson's paper called "Measure, Randomness and Sublocales" where Alex used this fact to resolve the Banach-Tarski paradox.
Recall that $\mathbb …