Consistency of Menas's conjecture (Q916655)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Consistency of Menas's conjecture |
scientific article; zbMATH DE number 4154434
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Consistency of Menas's conjecture |
scientific article; zbMATH DE number 4154434 |
Statements
Consistency of Menas's conjecture (English)
0 references
1990
0 references
If GCH holds and some sharps do not exist, then every stationary set in \(P_{\kappa}(\lambda)\) is the disjoint union of \(\lambda^{<\kappa}\) stationary sets. The new case is \(cf(\lambda)<\kappa\). The author observes that every club is of size \(\lambda^+\) and the club filter is \(\lambda^+\)-generated, so a straightforward diagonal argument works.
0 references
Menas conjecture
0 references
GCH
0 references
stationary set
0 references
club filter
0 references
