# Definition. A topological space X is separable if and only if X has a countable dense subset. Exercise 5.4. Find a separable space that contains a subspace that is not separable in the subspace topology.

Definition. A topological space X is separable if and only if X has a countable dense

subset.

Exercise 5.4. Find a separable space that contains a subspace that is not separable in

the subspace topology.

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The post Definition. A topological space X is separable if and only if X has a countable dense subset. Exercise 5.4. Find a separable space that contains a subspace that is not separable in the subspace topology. appeared first on Superb Professors.