hasUnderlyingSet
P77176
predicate
Indicates that one mathematical structure is associated with, or based on, a specific underlying set of elements.
All labels observed (2)
| Label | Occurrences |
|---|---|
| hasUnderlyingSet canonical | 7 |
| hasEntrySet | 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: hasUnderlyingSet
Generated description
Indicates that one mathematical structure is associated with, or based on, a specific underlying set of elements.
Sample triples (8)
| Subject | Object |
|---|---|
|
PSL(2,ℤ)
linked to:
modular group PSL(2,Z)
|
2×2 integer matrices with determinant 1 modulo ±I ⓘ |
|
Hadamard matrix
linked to:
Hadamard matrices
|
{+1, -1} via predicate surface "hasEntrySet" ⓘ |
|
GL(n,ℝ)
linked to:
general linear group GL(n,R)
|
set of all invertible n×n real matrices ⓘ |
| Poincaré upper half-plane model | {z ∈ ℂ : Im(z) > 0} ⓘ |
| Baire space | set of all infinite sequences of natural numbers ⓘ |
| Baire space | N^N ⓘ |
| Baire space ω^ω | set of all functions f: ω → ω ⓘ |
| Baire space ω^ω | set of all infinite sequences of natural numbers ⓘ |