Quotient space

GPTKB entity

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 quotient group
quotient module
quotient vector space
gptkbp:hasProperty identifies points related by an equivalence relation
https://www.w3.org/2000/01/rdf-schema#label Quotient space
gptkbp:notableExample 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:fiber
homogeneous space
identification space
gptkbp:used_in gptkb:topology
group theory
linear algebra
gptkbp:bfsParent gptkb:Vector_spaces
gptkbp:bfsLayer 7