connected manifold
C66408
concept
A connected manifold is a topological manifold that cannot be expressed as the union of two or more disjoint nonempty open subsets, meaning any two points can be joined by a continuous path within it.
All labels observed (1)
| Label | Occurrences |
|---|---|
| connected manifold 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: connected manifold
Generated description
A connected manifold is a topological manifold that cannot be expressed as the union of two or more disjoint nonempty open subsets, meaning any two points can be joined by a continuous path within it.
Instances (1)
| Instance | Via concept surface |
|---|---|
| 4-sphere S^4 | — |