Index

Symbols

5r covering lemma

A

Almost everywhere

Approximate tangent plane

B

Besicovitch-Federer projection theorem

C

Cantor set

Carathéodory construction Carathéodory criterion

D

Dominated convergence theorem

E

Egorov's theorem

F

Fubini's theorem Function Absolutely continuous Borel Simple

H

Hardy-Littlewood maximal function Hardy-Littlewood maximal inequality

Hausdorff density Hausdorff measure, [1]

I

Integral

L

Lattice of functions Lebesgue decomposition theorem

Lebesgue density theorem Lebesgue differentiation theorem Lusin's theorem

M

Measurable function Measurable set Measure Absolutely continuous Borel regular Counting Dirac Doubling Lebesgue Push forward Radon Sigma finite Singular Total variation

Monotone convergence theorem

P

Purely unrectifiable set

R

Rademacher's theorem Radon-Nikodym theorem Rectifiable set

Restriction measure Reverse Fatou Riesz representation theorem

S

Sard's theorem

Sigma algebra

V

Vitali cover

Vitali covering theorem Vitali set

W

Weak* convergence