Dear Jean,

Then I received 3 answers all referring to: The joy of Cats, but different:

I referred to a different book but also coauthered by Adamek.

Thomas Streicher adds a third condition, with which I would probably agree if was sure of the precise meaning of isofibration. Could you please, even at the risk of being pedantic say what you mean by that

For an iso i : pa -> y there is iso j : a -> b with pj= i. This j is unique when p is amnestic. Thomas [For admin and other information see: http://www.mta.ca/~cat-dist/ ]