Jan 1, 0001
Separable space
Let $(X, \tau)$ - a topological-space
It is considered separable if exists a sequence ${x_n}_1^{\infty}$ which is a dense-subset.
In other words, the space is separable $\iff$ exists a countable dense-subset.
Jan 1, 0001
Let $(X, \tau)$ - a topological-space
It is considered separable if exists a sequence ${x_n}_1^{\infty}$ which is a dense-subset.
In other words, the space is separable $\iff$ exists a countable dense-subset.