Register to reply

Index Category

by fallgesetz
Tags: category, index
Share this thread:
fallgesetz
#1
Nov10-09, 07:22 PM
P: 5
The colimit is defined in terms of a functor from an indexing category to another category(a diagram).

In the examples I've seen of the colimit, the functor is always faithful, so my question is, are there any nonfaithful functors from index categories that come up in real life?
Phys.Org News Partner Mathematics news on Phys.org
'Moral victories' might spare you from losing again
Fair cake cutting gets its own algorithm
Effort to model Facebook yields key to famous math problem (and a prize)
Hurkyl
#2
Nov10-09, 08:11 PM
Emeritus
Sci Advisor
PF Gold
Hurkyl's Avatar
P: 16,092
What about particular cases of the diagrams you already know?

e.g. the coproduct of an object with itself.


Register to reply

Related Discussions
Refractive index of gold? (& negative refractive index, + surface plasmon resonance?) Atomic, Solid State, Comp. Physics 3
Category Theory General Math 8
Im English, what category do I fit into? General Discussion 4
New category? Forum Feedback & Announcements 1