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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Computability and Set Theoretic Aspects of Hausdorff Dimension

## Computability and Set Theoretic Aspects of Hausdorff DimensionAdd to your list(s) Download to your calendar using vCal - Theodore Slaman (University of California, Berkeley)
- Wednesday 08 June 2022, 11:15-12:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. SASW09 - International conference on computability, complexity and randomness The Hausdorff Dimension of a set of real numbers A is a numerical indication of the geometricfullness of A. Sets of positive measure have dimension 1, but there are null sets of every possibledimension between 0 and 1. Effective Hausdorff Dimension is a variant which incorporates computability-theoreticconsiderations. By work of Jack and Neil Lutz, Elvira Mayordomo, and others, there is a directconnection between the the effective Hausdorff dimensions of the elements of a set A and theHausdorff dimension of A itself. We will describe how this point-to-set principle works, how allowsfor novel approaches to classical problems and further lines of investigation in Geometric MeasureTheory. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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