Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
abstract algebra
groups modules vector spaces topological spaces |
| gptkbp:defines |
a space obtained by partitioning a space into equivalence classes
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generalizes |
gptkb:quotient_group
quotient module quotient vector space |
| gptkbp:hasProperty |
identifies points related by an equivalence relation
|
| gptkbp:notableExample |
gptkb:real_projective_space
circle as quotient of real line by integers torus as quotient of plane by lattice |
| gptkbp:relatedTo |
equivalence relation
quotient topology coset quotient set |
| gptkbp:seeAlso |
gptkb:homogeneous_space
gptkb:fiber identification space |
| gptkbp:used_in |
gptkb:topology
group theory linear algebra |
| gptkbp:bfsParent |
gptkb:Vector_spaces
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Quotient space
|