设 
为任意拓扑空间。将 子集 
的集合闭包 
记为 
，补集 
记为 
。那么，通过重复应用闭包和补运算，最多可以从 
导出 14 个不同的集合 (Berman and Jordan 1975, Fife 1991)。这个问题最早由库拉托夫斯基 (Kuratowski) (1922) 证明，并由凯利 (Kelley) (1955) 推广。
库拉托夫斯基闭包-补集问题
另请参阅
补集, 库拉托夫斯基归约定理, 集合闭包, 子集本条目部分内容由 Mark Bowron 贡献
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参考文献
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鲍龙，马克 和 韦斯坦，埃里克·W.。“库拉托夫斯基闭包-补集问题”。来自 Web 资源。 https://mathworld.net.cn/KuratowskisClosure-ComplementProblem.html