Template:Pointclasses
表示
細字 | 太字 | ||
---|---|---|---|
Σ0 0 = Π0 0 = Δ0 0 (しばしばΔ0 1と同じ) |
Σ0 0 = Π0 0 = Δ0 0 (定義されていれば) | ||
Δ0 1 = 帰納的 |
Δ0 1 = 開かつ閉 | ||
Σ0 1 = 帰納的可算 |
Π0 1 = 補-帰納的可算 |
Σ0 1 = G = 開 |
Π0 1 = F = 閉 |
Δ0 2 |
Δ0 2 | ||
Σ0 2 |
Π0 2 |
Σ0 2 = Fσ |
Π0 2 = Gδ |
Δ0 3 |
Δ0 3 | ||
Σ0 3 |
Π0 3 |
Σ0 3 = Gδσ |
Π0 3 = Fσδ |
⋮ | ⋮ | ||
Σ0 <ω = Π0 <ω = Δ0 <ω = Σ1 0 = Π1 0 = Δ1 0 = 算術的 |
Σ0 <ω = Π0 <ω = Δ0 <ω = Σ1 0 = Π1 0 = Δ1 0 = boldface arithmetical | ||
⋮ | ⋮ | ||
Δ0 α (αは再帰的) |
Δ0 α (αは可算) | ||
Σ0 α |
Π0 α |
Σ0 α |
Π0 α |
⋮ | ⋮ | ||
Σ0 ωCK 1 = Π0 ωCK 1 = Δ0 ωCK 1 = Δ1 1 = 超算術的 |
Σ0 ω1 = Π0 ω1 = Δ0 ω1 = Δ1 1 = B = ボレル | ||
Σ1 1 = lightface analytic |
Π1 1 = lightface coanalytic |
Σ1 1 = A = 解析集合 |
Π1 1 = CA = 補解析集合 |
Δ1 2 |
Δ1 2 | ||
Σ1 2 |
Π1 2 |
Σ1 2 = PCA |
Π1 2 = CPCA |
Δ1 3 |
Δ1 3 | ||
Σ1 3 |
Π1 3 |
Σ1 3 = PCPCA |
Π1 3 = CPCPCA |
⋮ | ⋮ | ||
Σ1 <ω = Π1 <ω = Δ1 <ω = Σ2 0 = Π2 0 = Δ2 0 = 解析的階層に属する集合 |
Σ1 <ω = Π1 <ω = Δ1 <ω = Σ2 0 = Π2 0 = Δ2 0 = P = 射影集合 | ||
⋮ | ⋮ |