topology
C21863
concept
Topology is the mathematical study of properties of spaces that are preserved under continuous deformations such as stretching or bending, but not tearing or gluing.
All labels observed (4)
| Label | Occurrences |
|---|---|
| compactification | 3 |
| topology canonical | 2 |
| statement in 3-dimensional topology | 1 |
| topology on schemes | 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: topology
Generated description
Topology is the mathematical study of properties of spaces that are preserved under continuous deformations such as stretching or bending, but not tearing or gluing.
Instances (7)
| Instance | Via concept surface |
|---|---|
| Zariski topology | — |
| Alexandrov compactification | compactification |
| geometrization conjecture | statement in 3-dimensional topology |
| Stone–Čech compactification | compactification |
| Freudenthal compactification | compactification |
| Scott topology | — |
| Nisnevich topology | topology on schemes |