- Tytuł:
- On a problem of Steve Kalikow
- Autorzy:
- Shelah, Saharon
- Powiązania:
- https://bibliotekanauki.pl/articles/1205000.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
set theory
forcing
continuity
Kalikow
free subset - Opis:
- The Kalikow problem for a pair (λ,κ) of cardinal numbers,λ > κ (in particular κ = 2) is whether we can map the family of ω-sequences from λ to the family of ω-sequences from κ in a very continuous manner. Namely, we demand that for η,ν ∈ ω we have: η, ν are almost equal if and only if their images are. We show consistency of the negative answer, e.g., for $ℵ_ω$ but we prove it for smaller cardinals. We indicate a close connection with the free subset property and its variants.
- Źródło:
-
Fundamenta Mathematicae; 2000, 166, 1-2; 137-151
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł