\nabla_κ, remarkable cardinals, and 0^#
| dc.creator | Schindler, Ralf | |
| dc.date | 2001-05-25 | |
| dc.date.accessioned | 2026-07-07T04:41:51Z | |
| dc.date.available | 2026-07-07T04:41:51Z | |
| dc.description | For an uncountable regular cardinal κwe let \nabla_κ(A) be the statement that A \subset κand for all regular θ> κ, the set of all X \in [θ]^<κsuch that X \cap κ\in κand otp(X \cap OR) is a cardinal in L[A \cap X \cap κ] is stationary. We had shown earlier that \nabla_{ω_1}(A) can hold in a generic extension of L. We now prove that \nabla_{ω_2}(A) can hold in a semi-proper generic extension of L, whereas \nabla_{ω_3}(0) is equivalent with the existence of 0^#. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0105208 | |
| dc.identifier | http://arxiv.org/abs/math/0105208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61531 | |
| dc.subject | Logic | |
| dc.subject | 03E55; 03E15 | |
| dc.title | \nabla_κ, remarkable cardinals, and 0^# | |
| dc.type | text |