On iterated forcing at successors of regular cardinals
| dc.creator | Eisworth, Todd | |
| dc.date | 2002-10-10 | |
| dc.date.accessioned | 2026-07-07T04:51:50Z | |
| dc.date.available | 2026-07-07T04:51:50Z | |
| dc.description | We investigate the problem of when $\leqλ$--support iterations of $<λ$--complete notions of forcing preserve $λ^+$. We isolate a property -- {\em properness over diamonds} -- that implies $λ^+$ is preserved and show that this property is preserved by $λ$--support iterations. We close with an application of our technology by presenting a consistency result on uniformizing colorings of ladder systems on $\{δ<λ^+:\cf(δ)=λ\}$ that complements a theorem of Shelah. | |
| dc.identifier | https://arxiv.org/abs/math/0210162 | |
| dc.identifier | http://arxiv.org/abs/math/0210162 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65249 | |
| dc.subject | Logic | |
| dc.title | On iterated forcing at successors of regular cardinals | |
| dc.type | text |