Barmpalias, George and Lewis-Pye, Andrew (2015) The information content of typical reals. In: Sommaruga, Giovanni and Strahm, Thomas, (eds.) Turing’s revolution: the impact of his ideas about computability. Springer Berlin / Heidelberg, pp. 207-224. ISBN 9783319221557
Full text not available from this repository.Abstract
The degrees of unsolvability provide a way to study the continuum in algorithmic terms. Measure and category, on the other hand, provide notions of size for subsets of the continuum, giving rise to corresponding notions of “typicality” for real numbers. We give an overview of the order-theoretic properties of the degrees of typical reals, presenting old and recent results, and pointing to a number of open problems for future research on this topic.
| Item Type: | Book Section |
|---|---|
| Official URL: | http://www.springer.com/ |
| Additional Information: | © 2015 Springer |
| Divisions: | Management |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 23 Feb 2016 09:55 |
| Last Modified: | 11 Dec 2024 17:48 |
| URI: | http://eprints.lse.ac.uk/id/eprint/65481 |
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