Resolvable space

In the context of topology, a **resolvable space** is a type of topological space that satisfies certain separation axioms. Specifically, a topological space is considered resolvable if it can be separated into two disjoint dense subsets. That is, there exist two subsets \( A \) and \( B \) of the space \( X \) such that: 1. \( A \cap B = \emptyset \) (the two sets are disjoint), 2.