self-homeomorphism of a surface
C29371
concept
A self-homeomorphism of a surface is a continuous bijection from the surface to itself with a continuous inverse, preserving its topological structure.
All labels observed (2)
| Label | Occurrences |
|---|---|
| self-homeomorphism of a surface canonical | 1 |
| toral automorphism | 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: self-homeomorphism of a surface
Generated description
A self-homeomorphism of a surface is a continuous bijection from the surface to itself with a continuous inverse, preserving its topological structure.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Arnold cat map | toral automorphism |
| Dehn twist | — |