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Mathematical structures in analysis. (X, ···)
A
B
Topological space. τ
open/close, connected, compact; continuous;manifold, differential form
Metric space. d(·,·)
convergence, completeness,Riemannian manifold
Normed space. ||·||
Inner product space. ⟨⋅,⋅⟩
Euclidean space
Banach space
orthogonal;Hilbert space, Fourier series
Vector space. +, ·F
basis, dimension, linear operator
Measurable space. Σ
Measure space. μ
Lebesgue measure, integral,Lp space
Borel σ-algebra