Strongly almost disjoint families, II
| dc.creator | Hajnal, Andras | |
| dc.creator | Juhasz, Istvan | |
| dc.creator | Shelah, Saharon | |
| dc.date | 1998-12-18 | |
| dc.date.accessioned | 2026-07-07T05:27:18Z | |
| dc.date.available | 2026-07-07T05:27:18Z | |
| dc.description | The relations M(kappa,lambda,mu)->B [resp. B(sigma)] meaning that if A subset [kappa]^lambda with |A|=kappa is mu-almost disjoint then A has property B [resp. has a sigma-transversal] had been introduced and studied under GCH by Erdos and Hajnal in 1961. Our two main results here say the following: Assume GCH and rho be any regular cardinal with a supercompact [resp. 2-huge] cardinal above rho. Then there is a rho-closed forcing P such that, in V^P, we have both GCH and M(rho^{(+rho+1)},rho^+,rho) not-> B [resp. M(rho^{(+rho+1)},lambda,rho) not-> B(rho^+) for all lambda =< rho^{(+rho+1)}]. | |
| dc.identifier | https://arxiv.org/abs/math/9812114 | |
| dc.identifier | http://arxiv.org/abs/math/9812114 | |
| dc.identifier | Fund. Math. 163 No. 1 (2000) 13--23 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77869 | |
| dc.subject | Logic | |
| dc.subject | 03E05; 03E35; 03E55; 04A20; 04A30 | |
| dc.title | Strongly almost disjoint families, II | |
| dc.type | text |