Resolvable space
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In mathematics, in the realm of topology, a topological space is said to be resolvable if it is expressible as the union of two disjoint dense subsets. For instance, the real numbers form a resolvable topological space because the rationals and irrationals are disjoint dense subsets. A topological space that is not resolvable is termed irresolvable. Here are some properties of resolvable spaces:
- The product of two resolvable spaces is resolvable