Kuratowského

Kuratowského is the Czech-language genitive form used to refer to Kazimierz Kuratowski, a Polish mathematician (1891–1980). In Czech and Slovak mathematical literature, results named after him are frequently cited with his surname in the genitive, for example Kuratowského věta o uzávěru a doplnění (Kuratowski's closure–complement theorem) and Kuratowského věta o planárnosti grafů (Kuratowski's graph planarity theorem).

His work in topology established fundamental results about the operations of taking closures and complements of sets. The closure–complement theorem shows that only 14 distinct sets can arise from any starting subset by iterated applications of these operations. In graph theory, Kuratowski's theorem provides a criterion for planarity: a finite graph is planar if and only if it does not contain a subdivision of the complete graph K5 or the complete bipartite graph K3,3.

Kuratowski's research influenced several areas of topology and discrete mathematics, and his name remains attached to these results in many mathematical languages, including Czech and Slovak. The genitive form Kuratowského is part of the standard practice of naming theorems after their discoverers, reflecting his lasting impact on the field.