definesCohomologyClass
P67470
predicate
Indicates that one mathematical object (such as a cocycle, form, or map) specifies or determines a particular cohomology class in a given cohomology group.
All labels observed (2)
| Label | Occurrences |
|---|---|
| representsCohomologyClass | 2 |
| definesCohomologyClass canonical | 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: definesCohomologyClass
Generated description
Indicates that one mathematical object (such as a cocycle, form, or map) specifies or determines a particular cohomology class in a given cohomology group.
Sample triples (3)
| Subject | Object |
|---|---|
| Kähler form | Kähler class ⓘ |
| Fubini–Study form | first Chern class of O(1) via predicate surface "representsCohomologyClass" ⓘ |
| Fubini–Study form | generator of H^2(CP^n, Z) via predicate surface "representsCohomologyClass" ⓘ |