Definition:Everywhere Dense

Definition
Let $T = \struct {S, \tau}$ be a topological space.

Let $H \subseteq S$ be a subset.

Also known as
Some authors refer to such a subset merely as a dense subset. However, this can be confused with dense-in-itself.

Also see

 * Equivalence of Definitions of Everywhere Dense


 * Definition:Nowhere Dense
 * Definition:Dense-in-itself