Weakly submaximal space
Definition
A topological space is termed weakly submaximal if every finite subset of it is a locally closed subset.
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
Relation with other properties
Stronger properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| discrete space | every subset is open | |FULL LIST, MORE INFO | ||
| door space | every subset is either open or closed | |FULL LIST, MORE INFO | ||
| submaximal space | every subset is locally closed | |FULL LIST, MORE INFO |