On versions of clubsuit on cardinals larger than aleph_1
| dc.creator | Džamonja, Mirna | |
| dc.creator | Shelah, Saharon | |
| dc.date | 1999-11-28 | |
| dc.date.accessioned | 2026-07-07T05:31:59Z | |
| dc.date.available | 2026-07-07T05:31:59Z | |
| dc.description | We give two results on guessing unbounded subsets of lambda^+. The first is a positive result and applies to the situation of lambda regular and at least equal to aleph_3, while the second is a negative consistency result which applies to the situation of lambda a singular strong limit with 2^lambda>lambda^+. The first result shows that in ZFC there is a guessing of unbounded subsets of S^{lambda^+}_lambda. The second result is a consistency result (assuming a supercompact cardinal exists) showing that a natural guessing fails. A result of Shelah in math.LO/9808140 shows that if 2^lambda=lambda^+ and lambda is a strong limit singular, then the corresponding guessing holds. Both results are also connected to an earlier result of Dzamonja and Shelah in which they showed that a certain version of clubsuit holds at a successor of singular just in ZFC. The first result here shows that a result of math.LO/9601219 can to a certain extent be extended to the successor of a regular. The negative result here gives limitations to the extent to which one can hope to extend this result. | |
| dc.identifier | https://arxiv.org/abs/math/9911228 | |
| dc.identifier | http://arxiv.org/abs/math/9911228 | |
| dc.identifier | Math. Japon. 51 No. 1 (2000) 53--61 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79500 | |
| dc.subject | Logic | |
| dc.subject | 03E05, 03E35, 04A20 | |
| dc.title | On versions of clubsuit on cardinals larger than aleph_1 | |
| dc.type | text |