[FOM] Axiom of Choice in Category Theory

Laurent Delattre nouvid-fom at yahoo.fr
Mon Jan 30 22:58:24 EST 2006


I would like to discuss about the Axiom of Choice in
Category Theory.

If I am not mistaken, it is formulated the following

"Let C and D be (small) categories such that C is not
empty and D is discrete. Let F be a functor from C to
D. There exists a functor G from D to C such that

Can someone explain why  D is required to be discrete?

Can F and G be seen as a pair of adjoint functors?

More generally, what is the relation between the Axiom
of Choice and adjunction?




Nouveau : téléphonez moins cher avec Yahoo! Messenger ! Découvez les tarifs exceptionnels pour appeler la France et l'international.
Téléchargez sur http://fr.messenger.yahoo.com

More information about the FOM mailing list