Rim-compact space
Definition
A topological space is termed rim-compact if it has a basis of open subsets such that the boundary (i.e., the closure minus the subset) for each of the subsets is a compact space under the subspace topology.
Relation with other properties
Stronger properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| compact space | compact implies rim-compact | rim-compact not implies compact | |FULL LIST, MORE INFO |