cohomologyDegree
P161781
predicate
Indicates the specific degree in which a cohomology group or cohomological class is taken within a graded cohomological structure.
All labels observed (3)
| Label | Occurrences |
|---|---|
| cohomologyDegree canonical | 2 |
| cohomologicalDegree | 1 |
| targetCohomologyGroup | 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: cohomologyDegree
Generated description
Indicates the specific degree in which a cohomology group or cohomological class is taken within a graded cohomological structure.
Sample triples (4)
| Subject | Object |
|---|---|
| Tate Conjecture | 2r ⓘ |
| Godbillon–Vey invariant | 3 ⓘ |
| Godbillon–Vey invariant | third real cohomology group of the manifold via predicate surface "targetCohomologyGroup" ⓘ |
| Grothendieck–Lefschetz trace formula | alternating sum over all i ≥ 0 via predicate surface "cohomologicalDegree" ⓘ |