Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
set-theoretic forcing notion
|
| gptkbp:adds |
Sacks real
|
| gptkbp:condition |
perfect subtree of 2^{<ω}
|
| gptkbp:doesNotAdd |
gptkb:Cohen_reals
random reals |
| gptkbp:heldBy |
minimal forcing
proper forcing ω-distributive |
| https://www.w3.org/2000/01/rdf-schema#label |
Sacks forcing
|
| gptkbp:introducedIn |
1963
|
| gptkbp:namedAfter |
gptkb:Gerald_Sacks
|
| gptkbp:order |
inclusion of trees
|
| gptkbp:preserves |
cardinals
Lebesgue measurability of ground model sets cofinalities |
| gptkbp:produces |
minimal extension of constructible universe
|
| gptkbp:relatedTo |
gptkb:perfect_set_forcing
minimal degree |
| gptkbp:usedFor |
add a minimal real
|
| gptkbp:usedIn |
gptkb:set_theory
|
| gptkbp:bfsParent |
gptkb:Cohen's_forcing
|
| gptkbp:bfsLayer |
5
|