Who Asked Us? How the Theory of Computing Answers Questions about Analysis
Computational Complexity
2019-12-03 v1
Abstract
Algorithmic fractal dimensions -- constructs of computability theory -- have recently been used to answer open questions in classical geometric measure theory, questions of mathematical analysis whose statements do not involve computability theory or logic. We survey these developments and the prospects for future such results.
Keywords
Cite
@article{arxiv.1912.00284,
title = {Who Asked Us? How the Theory of Computing Answers Questions about Analysis},
author = {Jack H. Lutz and Neil Lutz},
journal= {arXiv preprint arXiv:1912.00284},
year = {2019}
}