isNoncompact
P63679
predicate
Indicates that the object (such as a space or set) lacks compactness, meaning it does not satisfy the property that every open cover has a finite subcover.
All labels observed (3)
| Label | Occurrences |
|---|---|
| isNonCompact | 6 |
| isNoncompact canonical | 3 |
| nonCompact | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: isNoncompact
Generated description
Indicates that the object (such as a space or set) lacks compactness, meaning it does not satisfy the property that every open cover has a finite subcover.
Sample triples (10)
| Subject | Object |
|---|---|
| Euclidean group | true ⓘ |
| E(n) | true ⓘ |
| AdS isometry group SO(2,d) | true via predicate surface "isNonCompact" ⓘ |
| SL(2,C) | true via predicate surface "isNonCompact" ⓘ |
| orthogonal group O(n+1,2) | true ⓘ |
|
general linear group GL(n,R)
surface form:
GL(n,ℝ)
|
true via predicate surface "isNonCompact" ⓘ |
|
special linear group SL(n,R)
surface form:
SL(n,ℝ)
|
true for n ≥ 2 via predicate surface "isNonCompact" ⓘ |
| PSL(2,ℝ) | true via predicate surface "isNonCompact" ⓘ |
| Baire space ω^ω | true via predicate surface "isNonCompact" ⓘ |
| SL(2,R) | true via predicate surface "nonCompact" ⓘ |