cohomologyClassLiesIn
P67471
predicate
Indicates that a given cohomology class belongs to, or is an element of, a specified cohomology group or subspace.
All labels observed (3)
| Label | Occurrences |
|---|---|
| cohomologyClassLiesIn canonical | 1 |
| cohomologyGroupNotation | 1 |
| cohomologyTheory | 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: cohomologyClassLiesIn
Generated description
Indicates that a given cohomology class belongs to, or is an element of, a specified cohomology group or subspace.
Sample triples (3)
| Subject | Object |
|---|---|
| Kähler form | H^2(M, ℝ) ⓘ |
| Chern–Weil theory | de Rham cohomology of the base manifold via predicate surface "cohomologyTheory" ⓘ |
| de Rham cohomology | H^k_{dR}(M) via predicate surface "cohomologyGroupNotation" ⓘ |