Kolmogorov's theorem
# Kolmogorov's theorem

Kolmogorov's theorem is any of several different results by Andrey Kolmogorov:

## In probability theory

* Hahn–Kolmogorov theorem
* Kolmogorov extension theorem
* Kolmogorov continuity theorem
* Kolmogorov's three-series theorem
* Kolmogorov's zero–one law
* Chapman–Kolmogorov equations
* Kolmogorov inequalities
   * Kolmogorov's inequality
   * Kolmogorov's inequality for positive submartingales

## In functional analysis

* Landau–Kolmogorov inequality
* Fréchet–Kolmogorov theorem
