abelianization functor for groups
binary coproduct functor on sets
binary diagonal functor on the category of sets
binary product functor on sets
Brauer group functor
contravariant power set functor
countable copower functor on sets
covariant power set functor
discrete topology functor
doubling functor on sets
empty functor to the category of sets
enveloping group functor
forgetful functor for groups
forgetful functor for rings
forgetful functor for topological spaces
forgetful functor for vector spaces
forgetful functor from abelian groups to groups
forgetful functor from commutative rings to rings
forgetful functor from finite abelian groups to abelian groups
forgetful functor from finite groups to groups
forgetful functor from finite sets to sets
forgetful functor from groups to monoids
forgetful functor from groups to pointed sets
forgetful functor from Hausdorff spaces to topological spaces
forgetful functor from rings to monoids
forgetful functor from torsion abelian groups to abelian groups
forgetful functor from torsion-free abelian groups to abelian groups
free group functor
functor of continuous functions
fundamental group functor
group of units functor
identity functor on the category of sets
inclusion functor from extended natural numbers to ordinal numbers
indiscrete topology functor
modulo p functor
monoid ring functor
morphism endpoints inclusion
nerve functor
opposite category functor
opposite monoid functor
p-torsion functor
path components functor
rational product functor
ring idempotents functor
sequences functor on sets
simple-group probing functor
span endpoints inclusion
squaring functor on sets
Stone-Čech compactification functor
torsion functor
trivial functor from the category of groups
trivial functor from the category of sets
trivial functor from the delooping
trivial functor from the walking idempotent
walking isomorphism object inclusion
walking morphism representation