Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Splitting stationary sets in $𝓟_{κ}λ$ for λ with small cofinality

100%

Usuba T.

Fundamenta Mathematicae

2009

tom 205

nr 3

265-287

For a regular uncountable cardinal κ and a cardinal λ with cf(λ) < κ < λ, we investigate the consistency strength of the existence of a stationary set in $𝓟_{κ}λ$ which cannot be split into λ⁺ many pairwise disjoint stationary subsets. To do this, we introduce a new notion for ideals, which is a variation of normality of ideals. We also prove that there is a stationary set S in $𝓟_{κ}λ$ such that every stationary subset of S can be split into λ⁺ many pairwise disjoint stationary subsets.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Usuba T.

1 2009

Wyniki wyszukiwania

Splitting stationary sets in $𝓟_{κ}λ$ for λ with small cofinality