simply connected surface
C28452
concept
A simply connected surface is a two-dimensional topological space in which every closed loop can be continuously contracted to a point without leaving the surface.
All labels observed (2)
| Label | Occurrences |
|---|---|
| simply connected surface canonical | 2 |
| 2-dimensional manifold | 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: simply connected surface
Generated description
A simply connected surface is a two-dimensional topological space in which every closed loop can be continuously contracted to a point without leaving the surface.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Riemann sphere | — |
| Poincaré upper half-plane model | 2-dimensional manifold |