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On the computability of perfect subsets of sets with positive measure
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chong, Chitat Wang, Wei Yang, Yue |
| Copyright Year | 2018 |
| Abstract | A set $X \subseteq 2^\omega$ with positive measure contains a perfect subset. We study such perfect subsets from the viewpoint of computability and prove that these sets can have weak computational strength. Then we connect the existence of perfect subsets of sets with positive measure with reverse mathematics. |
| Starting Page | 4021 |
| Ending Page | 4028 |
| Page Count | 8 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/proc/14413 |
| Alternate Webpage(s) | http://www.math.nus.edu.sg/~chongct/perfect-trees_rev.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/1808.06082v2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/proc%2F14413 |
| Volume Number | 147 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |