generalization of Cauchy sequence
C60080
concept
A generalization of a Cauchy sequence is a sequence (or net/filter) in a more abstract setting whose elements become arbitrarily close with respect to a given structure (such as a uniformity, metric-like function, or convergence notion), extending the classical Cauchy condition beyond metric spaces.
All labels observed (1)
| Label | Occurrences |
|---|---|
| generalization of Cauchy sequence 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: generalization of Cauchy sequence
Generated description
A generalization of a Cauchy sequence is a sequence (or net/filter) in a more abstract setting whose elements become arbitrarily close with respect to a given structure (such as a uniformity, metric-like function, or convergence notion), extending the classical Cauchy condition beyond metric spaces.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Cauchy net | — |