nLab
conservative morphism

Contents

Contents

Definition

A morphism f:ABf\colon A\to B in a 2-category KK is said to be (representably) conservative if for all objects XX, the induced functor

K(X,A)K(X,B)K(X,A) \to K(X,B)

is conservative. In Cat, this is equivalent to ff being conservative in the usual sense.

Remarks

Last revised on March 9, 2012 at 20:20:51. See the history of this page for a list of all contributions to it.