Winning Sets, Quasiconformal Maps and Diophantine Approximation
| Title: | Winning Sets, Quasiconformal Maps and Diophantine Approximation |
| Author: | McMullen, Curtis T. |
| Citation: | McMullen, Curtis, T. 2010. Winning sets, quasiconformal maps and diophantine approximation. Geometric and Functional Analysis 20(3): 726-740. |
| Full Text & Related Files: |
winning_sets.pdf (208.5Kb; PDF) 
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| Abstract: | This paper describes two new types of winning sets in \(\mathbb{R}^n\), defined using variants of Schmidt’s game. These strong and absolute winning sets include many Diophantine sets of measure zero and first category, and have good behavior under countable intersections. Most notably, they are invariant under quasiconformal maps, while classical winning sets are not. |
| Published Version: | doi:10.1007/s00039-010-0078-3 |
| Terms of Use: | This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:9918805 |
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