embedded submanifold
C20470
concept
An embedded submanifold is a subset of a manifold that is itself a manifold, whose inclusion map is a smooth embedding and whose topology and smooth structure agree with those induced from the ambient manifold.
All labels observed (1)
| Label | Occurrences |
|---|---|
| embedded submanifold canonical | 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: embedded submanifold
Generated description
An embedded submanifold is a subset of a manifold that is itself a manifold, whose inclusion map is a smooth embedding and whose topology and smooth structure agree with those induced from the ambient manifold.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Lie subgroup | — |