Finality of a functor
= Finality of a functor
{title2=$\pi_0(b\downarrow F)=1\text{ for every }b$}
= Finality
{synonym}
The finality property of a <functor> means every required <comma category> is nonempty and connected. It is the condition defining a <final functor>; the displayed criterion uses <categorical connected components>.