separable space
C52520
concept
A separable space is a topological space that contains a countable dense subset, meaning every nonempty open set intersects this subset.
All labels observed (1)
| Label | Occurrences |
|---|---|
| separable space canonical | 2 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: separable space
Generated description
A separable space is a topological space that contains a countable dense subset, meaning every nonempty open set intersects this subset.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Baire space | — |
| Baire space ω^ω | — |