Full reflection of stationary sets at regular cardinals
| dc.creator | Jech, Thomas | |
| dc.creator | Shelah, Saharon | |
| dc.date | 1992-04-15 | |
| dc.date.accessioned | 2026-07-07T09:14:46Z | |
| dc.date.available | 2026-07-07T09:14:46Z | |
| dc.description | A stationary subset S of a regular uncountable cardinal kappa reflects fully at regular cardinals if for every stationary set T subseteq kappa of higher order consisting of regular cardinals there exists an alpha in T such that S cap alpha is a stationary subset of alpha. We prove that the Axiom of Full Reflection which states that every stationary set reflects fully at regular cardinals, together with the existence of n-Mahlo cardinals is equiconsistent with the existence of Pi^1_n-indescribable cardinals. We also state the appropriate generalization for greatly Mahlo cardinals. | |
| dc.identifier | https://arxiv.org/abs/math/9204218 | |
| dc.identifier | http://arxiv.org/abs/math/9204218 | |
| dc.identifier | Amer. J. Math. 115 (1993), 435-455 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152792 | |
| dc.subject | Logic | |
| dc.title | Full reflection of stationary sets at regular cardinals | |
| dc.type | text |