Uniform almost everywhere domination
| dc.creator | Cholak, Peter | |
| dc.creator | Miller, Joseph | |
| dc.creator | Greenberg, Noam | |
| dc.date | 2005-06-01 | |
| dc.date | 2005-11-14 | |
| dc.date.accessioned | 2026-07-07T06:40:09Z | |
| dc.date.available | 2026-07-07T06:40:09Z | |
| dc.description | We explore the interaction between Lebesgue measure and dominating functions. We show, via both a priority construction and a forcing construction, that there is a function of incomplete degree that dominates almost all degrees. This answers a question of Dobrinen and Simpson, who showed that such functions are related to the proof-theoretic strength of the regularity of Lebesgue measure for $G_δ$ sets. Our constructions essentially settle the reverse mathematical classification of this principle. Revised Nov 13, 2005. Minor corrections made. | |
| dc.identifier | https://arxiv.org/abs/math/0506019 | |
| dc.identifier | http://arxiv.org/abs/math/0506019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101324 | |
| dc.subject | Logic | |
| dc.subject | 03D28, 03D30, 03D60 | |
| dc.title | Uniform almost everywhere domination | |
| dc.type | text |