Functors and Limits
If F : J → C is a diagram in C and G : C → D is a functor then by composition (recall that a diagram is just a functor) one obtains a diagram GF : J → D. A natural question is then:
- “How are the limits of GF related to those of F?”
Read more about this topic: Limit (category Theory)
Famous quotes containing the word limits:
“The great ship, Balayne, lay frozen in the sea.
The one-foot stars were couriers of its death
To the wild limits of its habitation.
These were not tepid stars of torpid places
But bravest at midnight and in lonely spaces,
They looked back at Hans’ look with savage faces.”
—Wallace Stevens (1879–1955)