Kuratov
Kuratov is a surname of Polish origin. It may refer to:
- Kazimierz Kuratowski (1896–1980): A prominent Polish mathematician and logician. He is best known for his work in set theory, topology, and mathematical logic. His contributions include the Kuratowski definition of an ordered pair, Kuratowski's closure-complement problem, and Kuratowski's theorem characterizing planar graphs.
- Kuratowski's Theorem: A theorem in graph theory that states a graph is planar if and only if it does not contain a subgraph that is a subdivision of K5 (the complete graph on five vertices) or K3,3 (the complete bipartite graph on six vertices, three of which connect to each of the other three).
- Kuratowski's definition of an ordered pair: A set-theoretic definition of an ordered pair (a, b) as the set {{a}, {a, b}}. This definition demonstrates that the concept of ordered pairs can be built from basic set theory principles.
- The surname may also refer to descendants or relatives of Kazimierz Kuratowski or other individuals bearing the name.