Galois connection (order theory)
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:formal_concept_analysis
fixed point theory closure operators concept lattices |
| gptkbp:definedIn |
a pair of monotone functions between two partially ordered sets that are adjoint in a specific sense
|
| gptkbp:field |
gptkb:mathematics
gptkb:order_theory |
| gptkbp:generalizes |
gptkb:Galois_correspondence
|
| gptkbp:hasComponent |
lower adjoint
upper adjoint |
| https://www.w3.org/2000/01/rdf-schema#label |
Galois connection (order theory)
|
| gptkbp:namedAfter |
gptkb:Évariste_Galois
|
| gptkbp:property |
preserves order
reverses order in adjoint uniqueness of adjoints |
| gptkbp:relatedTo |
gptkb:Galois_theory
lattice theory adjoint functors |
| gptkbp:usedIn |
gptkb:algebra
gptkb:logic gptkb:category_theory |
| gptkbp:bfsParent |
gptkb:Galois_Theory
|
| gptkbp:bfsLayer |
7
|