small category
Ob
discrete topology
hom-set
coterminal
paradigm
inverse system
family
lot
direct system
slice category
discrete category
suballele
object-oriented programming
setwise
identity functor
bicategory
multicategory
three
metaset
assignment
submorphology
power set
four
eidos
overlap
functor category
superset
quintessence
typeset
allogroup
class-based
allegory
block design
prototypical
archetypical
prototypal
archetypal
intersection
partition
cover
member
prototypic
direct product
object
categorization
class
morphognosis
order tree
identity morphism
multiset
Grothendieck topology
type
classeme
sieve
functor
set
hyperconnection
principal part
fill-in
megacollection
phenome
subset classifier
distribution
instantiation
interclassify
tetracategory
Ramsey theory
proper subset
prototype
hyperproperty
transversal
Yoneda functor
interlayering
submultiset
mathematical structure
metagraph
subset
polymorphic
dual
pantomorphic
roster
sum
cofinite topology
join
typology
typa
monothetic
bispace
behavioral subtyping
union
order
omnifarious
generalized element
lower set

English words for 'A category such that all of its objects form a set and all of its morphisms form a set.'

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