functor
slice category
direct system
object
bicategory
inverse system
monoidal category
identity functor
discrete category
projection
dual
functor category
multicategory
balanced category
cohomology
coterminal
decategorification
generalized element
cocenter
assignment
polymorphic
act
amorphia
sieve
hom-set
type
identity morphism
homomorphous
five lemma
pleomorphism
morphism
submorphology
free category
isoclass
metagraph
inclusion polymorphism
algebraic subvariety
tricategory
diagonal morphism
universal property
coimage
oligomorphic
direct product
regular map
small category
equalizer
automorphic
extend
iso-
quasivariety
reclass
subtyping
anabelian geometry
representation theory
formation
pseudofunctor
homotypical
distribute
tropomorphic
equalize
allegory
multisubtype
homomorphic
genus Apus
Apus
Hurewicz theorem
action
Hopf algebra
quasifield
subisotype
tetracategory
classifier
cladification
assign
quintessence
exact sequence
homology
endomorphism
diagram
anticategory
categorial
birational geometry
cokernel
polynomial
opmonoidal
zero morphism
subtype
ad-hoc polymorphism
typic
metavariant
Ob
subsubtype
projective
apomorphy
subobject classifier
homomorphically
symplectomorphism

English words for 'A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows, in such a way as to preserve domains and codomains (of the arrows) as well as composition and identities.'

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