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
Heat distributions help researchers to understand curved space
Professor quantifies how 'one thing leads to another'
Team announces construction of a formal computer-verified proof of the Kepler conjecture
Hurkyl
#2
Nov10-09, 08:11 PM
Emeritus
Sci Advisor
PF Gold
Hurkyl's Avatar
P: 16,091
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