locally convex space
C61376
concept
A locally convex space is a topological vector space whose topology is generated by a family of seminorms, so that every point has a neighborhood base consisting of convex sets.
All labels observed (2)
| Label | Occurrences |
|---|---|
| locally convex space canonical | 1 |
| locally convex space class | 1 |
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: locally convex space
Generated description
A locally convex space is a topological vector space whose topology is generated by a family of seminorms, so that every point has a neighborhood base consisting of convex sets.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Schwartz space | — |
| Montel space | locally convex space class |