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Topology

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Moderate

Basic Separable And Inseparable Spaces

TOPO-KWQ11Q

Which of the following topological spaces are separable?

A

$\mathbb{R}$ equipped with the discrete topology

B

$\mathbb{R}$ equipped with the standard topology

C

$\mathbb{Q}$ equipped with the discrete topology

D

$\mathbb{Q}^n$ equipped with its standard metric topology

E

$\mathbb{R}^n$ equipped with its standard metric topology