fundamentalDomain
P77181
predicate
Indicates that one entity is a fundamental domain for the action of another (such as a group or transformation), meaning it is a minimal region whose images under that action cover the entire space without overlapping interiors.
All labels observed (2)
| Label | Occurrences |
|---|---|
| fundamentalDomain canonical | 1 |
| fundamentalDomainForActionOn | 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: fundamentalDomain
Generated description
Indicates that one entity is a fundamental domain for the action of another (such as a group or transformation), meaning it is a minimal region whose images under that action cover the entire space without overlapping interiors.
Sample triples (2)
| Subject | Object |
|---|---|
|
modular group PSL(2,Z)
surface form:
PSL(2,ℤ)
|
{z ∈ ℍ : |Re(z)| ≤ 1/2, |z| ≥ 1} ⓘ |
| SL(2,ℤ) | upper half-plane ℍ via predicate surface "fundamentalDomainForActionOn" ⓘ |