Dimension of a vector space

Finite-dimensional vector space

Constructively, a 𝕂-vector space 𝑉 has dimension 𝑛 if there merely exists an isomorphism 𝑉 ≅𝕂𝕂𝑛, i.e. 𝑉 is 𝑛-framable. #m/def/linalg Thus a finite-dimensional vector space 𝑉 is equipped with an 𝑛 such that 𝑉 is 𝑛-dimensional, i.e. an element of

∐𝑛∈ℕ‖𝑉≅𝕂𝕂𝑛‖.


#state/tidy | #lang/en | #SemBr