Dense-in-itself space
(Redirected from Space with no isolated points)
Definition
A dense-in-itself space is a topological space in which there are no isolated points.
Facts
Relation with other properties
Stronger properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| resolvable space | resolvable implies no isolated points |