New posts in Separable Spaces

Non-separable compact space

How big can a separable Hausdorff space be?

Prove that sequence space $\ell_p(\mathbb R)$ is separable

A metric space is separable iff it is second countable

the product space $\mathbb{R}^I$,where I denote $[0,1]$, has a countable dense subset.

In a metric space, compactness implies completness

Separability of a product metric space

Equivalence of three properties of a metric space.

Separability of Banach Spaces

Why is $L^{\infty}$ not separable?