lemma in topology
C33138
concept
A lemma in topology is a proven auxiliary statement about topological structures (such as open sets, continuity, or compactness) used as a stepping stone to establish more significant theorems.
All labels observed (2)
| Label | Occurrences |
|---|---|
| lemma in topology canonical | 1 |
| topological lemma | 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: lemma in topology
Generated description
A lemma in topology is a proven auxiliary statement about topological structures (such as open sets, continuity, or compactness) used as a stepping stone to establish more significant theorems.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Ky Fan’s lemma | — |
| Knaster–Kuratowski–Mazurkiewicz lemma | topological lemma |