universalityProperty
P37894
predicate
Indicates that a given object or morphism is characterized by a universal mapping property, meaning all other relevant maps factor uniquely through it.
All labels observed (3)
| Label | Occurrences |
|---|---|
| hasUniversalProperty | 2 |
| universalityProperty canonical | 2 |
| categoryTheoreticProperty | 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: universalityProperty
Generated description
Indicates that a given object or morphism is characterized by a universal mapping property, meaning all other relevant maps factor uniquely through it.
Sample triples (5)
| Subject | Object |
|---|---|
| Riemann zeta function | Voronin universality theorem ⓘ |
| Gaussian unitary ensemble | local eigenvalue statistics are universal in large N limit ⓘ |
| Henselian ring | henselization is initial among Henselian local rings receiving a local homomorphism from the given ring via predicate surface "hasUniversalProperty" ⓘ |
| Henselization | left adjoint to the inclusion of Henselian local rings into all local rings in many settings via predicate surface "categoryTheoreticProperty" ⓘ |
| Grothendieck ring | initial ring receiving additive and multiplicative invariants of objects via predicate surface "hasUniversalProperty" ⓘ |