Properties of topological spaces

Resolvable space

In 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. (Wikipedia).

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Related pages

Topological space | Irrational number | Rational number | Glossary of topology | Topology | Isolated point | Product topology