Gales and supergales are equivalent for defining constructive Hausdorff dimension

Stephen A. Fenner

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arXiv · cs/0208044

Gales and supergales are equivalent for defining constructive Hausdorff dimension

Stephen A. Fenner

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Abstract

We show that for a wide range of probability measures, constructive gales are interchangable with constructive supergales for defining constructive Hausdorff dimension, thus generalizing a previous independent result of Hitchcock (cs.CC/0208043) and partially answering an open question of Lutz (cs.CC/0203017).

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Stephen A. Fenner. 2002-08-29. Gales and supergales are equivalent for defining constructive Hausdorff dimension. https://arxiv.org/abs/cs/0208044

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