From: Colin McLarty <colin.mclarty@case.edu>
To: categories@mta.ca
Subject: The Maranda-Verdier lemma?
Date: Thu, 6 Oct 2011 15:14:59 -0400 [thread overview]
Message-ID: <E1RC9ai-0003RE-1R@mlist.mta.ca> (raw)
Many theorems on injectives reduce to the plain case of divisible
Abelian groups by the lemma that any functor A-->B with left exact
left adjoint and monic unit preserves injectives, and if A has enough
injectives so does B.
It is a fantastic caseof waht Peter Freyd has said: caegory theory
makes what should be trivial actually trivial.
The reasoning occurs in Eckmann-Schopf in 1953 but in a special case.
It was first published in the Trans. AMS in 1964 by Maranda, and by
Verdier the same year in mimeographed notes of SGA 4.
I refer to this lemma a lot lately, and I'd like a name for it.
So I'm asking here what people think of calling it Maranda-Verdier?
best, Colin
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reply other threads:[~2011-10-06 19:14 UTC|newest]
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