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|Title:||Π11-conservation of combinatorial principles weaker than Ramsey's theorem for pairs|
|Authors:||Chong, C.T. |
|Source:||Chong, C.T., Slaman, T.A., Yang, Y. (2012-06-20). Π11-conservation of combinatorial principles weaker than Ramsey's theorem for pairs. Advances in Mathematics 230 (3) : 1060-1077. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aim.2012.02.025|
|Abstract:||We study combinatorial principles weaker than Ramsey's theorem for pairs over the RCA 0 (recursive comprehension axiom) system with σ20-bounding. It is shown that the cohesiveness (COH), ascending and descending sequence (ADS), and chain/antichain (CAC) principles are all Π11-conservative over σ20-bounding. In particular, none of these principles proves σ20-induction. © 2012 Elsevier Ltd.|
|Source Title:||Advances in Mathematics|
|Appears in Collections:||Staff Publications|
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