From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1199 Path: news.gmane.org!not-for-mail From: "Robert W. McGrail" Newsgroups: gmane.science.mathematics.categories Subject: Generalized Subfunctors Date: Sat, 14 Aug 1999 15:51:03 -0400 Organization: Bard College Message-ID: <37B5C8A7.7559AA37@bard.edu> NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241017631 29919 80.91.229.2 (29 Apr 2009 15:07:11 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:07:11 +0000 (UTC) To: Categories Original-X-From: cat-dist Sun Aug 15 12:10:24 1999 Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.9.3/8.9.3) id LAA05410 for categories-list; Sun, 15 Aug 1999 11:05:35 -0300 (ADT) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f X-Ident: IDENT protocol sender: bangor.bard.edu [192.246.226.51] X-Mailer: Mozilla 4.6 [en] (Win95; I) X-Accept-Language: en Original-Sender: cat-dist@mta.ca Precedence: bulk Original-Lines: 35 Xref: news.gmane.org gmane.science.mathematics.categories:1199 Archived-At: 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 **************************************************** 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