separation axiom
C28451
concept
A separation axiom is a topological property that specifies how distinctly a space can distinguish points and/or sets using open sets, forming a hierarchy of increasingly stronger separation conditions (T0, T1, T2, etc.).
Observed surface forms (3)
| Surface form | Occurrences |
|---|---|
| T0 space | 2 |
| Hausdorff space | 1 |
| T1 space | 1 |
Instances (5)
| Instance | Via concept surface |
|---|---|
|
Hausdorff
surface form:
Hausdorff space
|
— |
| Baire space | T0 space |
| T1 separation axiom | — |
| Tychonoff space | — |
|
Kolmogorov space (T0 space)
surface form:
Kolmogorov space
|
— |