subset of the real line
C21354
concept
A subset of the real line is any collection of real numbers, possibly finite or infinite, that inherits the usual order and topology from the real number system.
All labels observed (4)
| Label | Occurrences |
|---|---|
| measurable set (in the sense of Borel σ-algebra) | 1 |
| pathological subset of the real line | 1 |
| subset of the real line canonical | 1 |
| subset of the real numbers | 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: subset of the real line
Generated description
A subset of the real line is any collection of real numbers, possibly finite or infinite, that inherits the usual order and topology from the real number system.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Cantor set | — |
| Bernstein set | subset of the real numbers |
| Borel set | measurable set (in the sense of Borel σ-algebra) |