Limit (category Theory) - Functors and Limits

Functors and Limits

If F : JC is a diagram in C and G : CD is a functor then by composition (recall that a diagram is just a functor) one obtains a diagram GF : JD. A natural question is then:

“How are the limits of GF related to those of F?”

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Famous quotes containing the word limits:

    This teaching is not practical in the sense in which the New Testament is. It is not always sound sense in practice. The Brahman never proposes courageously to assault evil, but patiently to starve it out. His active faculties are paralyzed by the idea of caste, of impassable limits of destiny and the tyranny of time.
    Henry David Thoreau (1817–1862)