The Tarski-Kuratowski algorithm is a method used in topology and related fields to determine the connectivity and separation properties of sets in a topological space. Specifically, it addresses the problem of determining whether two sets are separated or not by exploring their topological relationships. The algorithm operates on pairs of closed sets in a topological space and can be used to find whether one set is contained within another, whether they are disjoint, or whether they intersect.
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