title: Vitali theorem
text: # Vitali theorem
  
  Several theorems in mathematical analysis bear the name of Giuseppe Vitali:
  
  * Vitali covering theorem in the foundations of measure theory
  * Various theorems concerning convergence of families of measurable and holomorphic functions, such as Vitali convergence theorem
  * Vitali also proved the existence of non-measurable subsets of the real numbers, see Vitali set
  