6. Notationen
ℒ
a ∈ b
ℕ
ℤ
ℚ
ℝ
min
|x|
min
max
{ a1, … , an }
∅
{ }
ℰ(x)
{ x | ℰ(x) }
a ⊆ b
a ⊂ b
b ⊇ a
b ⊃ a
a ∪ b
a ∩ b
a − b
ac
a Δ b
{ ℱ(x) | ℰ(x) }
⋂ M
⋃ M
℘(M)
(a, b)
A × B
(a1, …, an)
A1 × … × An
a R b
dom(R)
rng(R)
A/R
f (a) = b
f : A → B
f|C
f −1
g ∘ f
idA
f″A
f[ A ]
R−1
R ∘ S
R″A
R−1″B
|A| = |B|
|A| ≤ |B|
|B| ≥* |A|
|A| < |B|
n
π : ℕ × ℕ → ℕ
ρ : ℕ × ℕ → ℕ
𝔸
𝕋
X ≤ a
sup(X)
] x, y [
AB
indA, M
℘*(ℕ)
2M
𝔉
CH
L
GCH
|M|
𝔞, 𝔟, 𝔠
n
ℵ0
𝔠
𝔞 + 𝔟
𝔞 · 𝔟
𝔞 𝔟
𝔣
𝔞+
[ A ]𝔟
min(𝔄)
V
R
ω
sup(P)
inf (P)
] a, b [
Uε(a)
limn → ∞ xn
P′
cl(P)
int(P)
P(n)
P(ω)
X < s
X ≤ s
<|N
⋃ Γ
〈 M, < 〉 + { x }
≡
⊲
ℋ(M)
a ∥ b
o. t.(〈 M, < 〉)
W(α)
α + 1
α − 1
sup(A)
α + 1
α − 1
sup(A)
o. t.
|M|
|α|
κ + λ
κ · λ
κ λ
κ+
CH
GCH
ω1
ℵ1
בα
Vα
ℵα
𝒢
ℱ
Δα
≡
n
ω
ζ
η
θ
α*
〈 M, < 〉 + 〈 N, < 〉
α + β
〈 M, < 〉 · 〈 N, < 〉
α · β
explex(α, β)
αβ
ε0
W(α, β)
Γ
〈 M, < 〉〈 N, < 〉
cf(〈 M, < 〉)
cf (α)
SCH
ג(κ)
Lim(X)
L
L
Add(μ)
η
θ
sup
inf
α ≼ β
α ≼* β
𝒟(M)
P(α)
P*
cp(P)
C
ξ
Pr(P)
Σ11
Π11
Ω
ת
Kard
ZFC
∅
{ x, y }
(x, y)
⋃ x
x ∪ y
x ∩ y
x − y
⋂ X
℘(x)
A × B
NBG
MK
Z
ZF
ZFC −
ZF −
ℒ
¬ φ
φ ∧ ψ
φ ∨ ψ
∀x φ
φ ∨ ψ
φ → ψ
φ ↔ ψ
∃x φ
.
φ(x1, … , xn)
∃!
{ x | φ(x, p1, … , pn) }
V
A = B
A ∈ B
A ⊆ B
A ∪ B
A ∩ B
A − B
⋃ A
⋂ A
A × B
℘(A)
F(x) = y
∈
F″X
F|X
G ∘ F
id
R ∘ Rel S
NBG
MK
NBG
MK
Griechisches Alphabet
| Alpha | Α | α |
| Beta | Β | β |
| Gamma | Γ | γ |
| Delta | Δ | δ |
| Epsilon | Ε | ε |
| Zeta | Ζ | ζ |
| Eta | Η | η |
| Theta | Θ | θ, ϑ |
| Jota | Ι | ι |
| Kappa | Κ | κ |
| Lambda | Λ | λ |
| My | Μ | μ |
| Ny | Ν | ν |
| Xi | Ξ | ξ |
| Omikron | Ο | ο |
| Pi | Π | π |
| Rho | Ρ | ρ |
| Sigma | Σ | σ, ς |
| Tau | Τ | τ |
| Ypsilon | Υ | υ |
| Phi | Φ | φ |
| Chi | Χ | χ |
| Psi | Ψ | ψ |
| Omega | Ω | ω |
Hebräisches Alphabet
| Aleph | א |
| Beth | ב |
| Gimel | ג |
| Daleth | ד |
| He | ה |
| Waw | ו |
| Zayin | ז |
| Heth | ח |
| Teth | ט |
| Yodh | י |
| Kaph | כ |
| Lamedh | ל |
| Mem | מ |
| Nun | נ |
| Samekh | ס |
| Ayin | ע |
| Pe | פ |
| Sadhe | צ |
| Qoph | ק |
| Resh | ר |
| Shin | ש |
| Taw | ת |
Fraktur Alphabet
| A | 𝔄 | 𝔞 |
| B | 𝔅 | 𝔟 |
| C | ℭ | 𝔠 |
| D | 𝔇 | 𝔡 |
| E | 𝔈 | 𝔢 |
| F | 𝔉 | 𝔣 |
| G | 𝔊 | 𝔤 |
| H | ℌ | 𝔥 |
| I | ℑ | 𝔦 |
| J | 𝔍 | 𝔧 |
| K | 𝔎 | 𝔨 |
| L | 𝔏 | 𝔩 |
| M | 𝔐 | 𝔪 |
| N | 𝔑 | 𝔫 |
| O | 𝔒 | 𝔬 |
| P | 𝔓 | 𝔭 |
| Q | 𝔔 | 𝔮 |
| R | ℜ | 𝔯 |
| S | 𝔖 | 𝔰 |
| T | 𝔗 | 𝔱 |
| U | 𝔘 | 𝔲 |
| V | 𝔙 | 𝔳 |
| W | 𝔚 | 𝔴 |
| X | 𝔛 | 𝔵 |
| Y | 𝔜 | 𝔶 |
| Z | ℨ | 𝔷 |
Skriptbuchstaben
| A | 𝒜 |
| B | ℬ |
| C | 𝒞 |
| D | 𝒟 |
| E | ℰ |
| F | ℱ |
| G | 𝒢 |
| H | ℋ |
| I | ℐ |
| J | 𝒥 |
| K | 𝒦 |
| L | ℒ |
| M | ℳ |
| N | 𝒩 |
| O | 𝒪 |
| P | 𝒫 |
| Q | 𝒬 |
| R | ℛ |
| S | 𝒮 |
| T | 𝒯 |
| U | 𝒰 |
| V | 𝒱 |
| W | 𝒲 |
| X | 𝒳 |
| Y | 𝒴 |
| Z | 𝒵 |