Advances in Cardinal Arithmetic
| dc.creator | Shelah, Saharon | |
| dc.date | 2007-08-15 | |
| dc.date | 2008-06-03 | |
| dc.date.accessioned | 2026-07-07T09:41:59Z | |
| dc.date.available | 2026-07-07T09:41:59Z | |
| dc.description | If cf(kappa) = kappa, kappa^+< cf(lambda) = λ, then there is a stationary subset S of {delta<lambda:cf(delta)=kappa} in I[lambda]. Moreover, we can find <C_delta :delta in S>, C_delta a club of lambda, otp(C_delta)=kappa, guessing clubs and for each alpha<lambda we have: {C_delta \cap alpha: alpha \in nacc(C_delta)} has cardinality <lambda. Also, we prove that e.g. there is a stationary subset of S_{<aleph_1}(lambda) of cardinality cf(S_{<aleph_1}(lambda),subseteq) Then we prove the existence of nice filters when instead being normal filters on omega_1 they are normal filters with larger domains, which can increase during a play. They can help us transfer situation on aleph_1-complete filters to normal ones | |
| dc.identifier | https://arxiv.org/abs/0708.1979 | |
| dc.identifier | http://arxiv.org/abs/0708.1979 | |
| dc.identifier | In: Finite and Infinite Combinatorics in Sets and Logic, 355-383, Kluwer Academic Publishers 1993, N.W. Sauer et al (eds.) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162020 | |
| dc.subject | Logic | |
| dc.title | Advances in Cardinal Arithmetic | |
| dc.type | text |