From: "Robert W. McGrail" <mcgrail@bard.edu>
To: Categories <categories@mta.ca>
Subject: Generalized Subfunctors
Date: Sat, 14 Aug 1999 15:51:03 -0400 [thread overview]
Message-ID: <37B5C8A7.7559AA37@bard.edu> (raw)
Dear Categorists,
I wish to label the following notion of (for lack of a better term)
"generalized subfunctor" of a functor H: J ---> C in a manner that is
consistent with the categorical community. What I call a "generalized
subfunctor" of F is a category D, a pair of functors F: C --->D and G: J
---> D, and a monic natural transformation m: G ---> FoH. My motivation
is to formulate the notion of "generically creating a generalized
subfunctor" to such a functor H.
Is there some standard alternative to the overloaded term
"generalized"? By the way, I am somewhat interested in the case where H
sends certain J-spans to product diagrams in C, so sketch-theoretic
ideas are certainly welcome.
--
Best Regards,
Bob McGrail
****************************************************
By virtue knowledge
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Bard College
Division of Natural Science and Mathematics
P.O. Box 5000
Annandale-on-Hudson, NY 12504
(914)758-7265
mcgrail@bard.edu
http://inside.bard.edu/~mcgrail
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