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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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Problem 1154: Analytic generators cannot give intermediate-dimensional rings

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analytic_generator_obstruction: A real subring of intermediate Hausdorff dimension contains no positive-dimensional analytic subset, by Edgar–Miller and analytic ring generation, including the non-unital convention.


The [[research/erdos_1154/analytic_generator_obstruction|argument on analytic generators cannot give intermediate-dimensional rings]] records its exact scope, source premises, and remaining gap toward Problem 1154.