Terminology (MathExi)

term type
set/collection group category
injecture surjecture
isomorphism monomorphism epimorphism
duality
product/coproduct pullback/pushout equalizer/coequalizer limit/colimit
initial-object/ terminal-object
functor natural-transformation adjoint
monoid
monad/comonad
$\alpha$-convesion $\beta$-reduction $\eta$-convesion
{free, bound, binding}-occurrence
$\lambda$-cube