* Extension of natural transformations
@ 2001-04-27 6:48 Per
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From: Per @ 2001-04-27 6:48 UTC (permalink / raw)
To: categories
Is there anything known about the following type of problem.
Let F,G : C -> D be functors and let E be a subcategory of C and let
F' G' be the restirctions of F and G to E. Let a' : F' -> G' be a
natural transformation.
When does there exist a natural transformation alpha : F -> G that
extends alpha' so that alpha restricted to E is equal to alpha'?
What if E is a set of generators for C?
Thanks
Per K. Jakobsen
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