The Sets that exist in Mathematics

Here’s a list of common mathematical set symbols, using UTF-8 encoding, that represent important sets in mathematics:

Symbol Set Name
ℕ Set of natural numbers (ℕ = {1, 2, 3, …})
ℤ Set of integers (ℤ = {..., -2, -1, 0, 1, 2, …})
ℚ Set of rational numbers (numbers expressible as a/b, where a and b are integers, b ≠ 0)
ℝ Set of real numbers (all rational and irrational numbers)
ℂ Set of complex numbers (ℂ = {a + bi : a, b ∈ ℝ})
ℍ Set of quaternions
ℙ Set of prime numbers
ℙ(𝒳) Power set of a set 𝒳 (all subsets of 𝒳)
𝒫(𝒳) Alternative notation for the power set of 𝒳
𝔽 Field, often used to denote a general field in algebra
𝔸 Affine space
𝔻 Unit disk in the complex plane (𝔻 = {z ∈ ℂ : |z| < 1})
𝕊 Unit sphere in various dimensions (e.g., 𝕊² for 2D sphere, 𝕊³ for 3D sphere)

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