A morphism in is called an inert morphism if it is surjective and an injection on those elements that are not sent to the base point.
A morphism in is called an active morphism if only the basepoint goes to the basepoint.
(Lurie, def. 2.1.1.8, def. 2.1.2.1).
See at (infinity,1)-operad
is an orthogonal factorization system on .
Last revised on February 2, 2015 at 12:57:33. See the history of this page for a list of all contributions to it.