branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of...

interpretation Kolmogorov microscales Kolmogorov's normability criterion Fréchet–Kolmogorov theorem Kolmogorov space Kolmogorov complexity Kolmogorov–Smirnov...

T3 if and only if it is both regular and T0. (A T0 or Kolmogorov space is a topological space in which any two distinct points are topologically distinguishable...

In probability theory, Kolmogorov equations, including Kolmogorov forward equations and Kolmogorov backward equations, characterize continuous-time Markov...

In statistics, the Kolmogorov–Smirnov test (K–S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section 2...

In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariate continuous...

distinguishable). A topological space is preregular if and only if its Kolmogorov quotient is Hausdorff. For a topological space X {\displaystyle X} , the following...

information theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest...

meaning.) A topological space is a T1 space if and only if it is both an R0 space and a Kolmogorov (or T0) space (i.e., a space in which distinct points...

topological space. Moreover, for a uniformizable space X {\displaystyle X} the following are equivalent: X {\displaystyle X} is a Kolmogorov space X {\displaystyle...