From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/3008 Path: news.gmane.org!not-for-mail From: Graham White Newsgroups: gmane.science.mathematics.categories Subject: Re: Fuzzy categories Date: Tue, 24 Jan 2006 16:54:03 +0000 Message-ID: <1138121643.9030.30.camel@localhost.localdomain> References: <43D4E02A.5010606@cs.stmarys.ca> NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241019042 6868 80.91.229.2 (29 Apr 2009 15:30:42 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:30:42 +0000 (UTC) To: Categories@mta.ca Original-X-From: rrosebru@mta.ca Wed Jan 25 06:11:53 2006 -0400 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Wed, 25 Jan 2006 06:11:53 -0400 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.52) id 1F1ha4-0001Zm-J0 for categories-list@mta.ca; Wed, 25 Jan 2006 06:08:48 -0400 In-Reply-To: <43D4E02A.5010606@cs.stmarys.ca> X-Mailer: Evolution 2.4.1 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 34 Original-Lines: 28 Xref: news.gmane.org gmane.science.mathematics.categories:3008 Archived-At: On Mon, 2006-01-23 at 09:54 -0400, Robert J. MacG. Dawson wrote: > Steve Stevenson wrote: > > This seems like a natural idea. But the American Math Soc web site > > has no listings. What is a fundamental reference? > > Kelly's "Basic Concepts of Enriched Category Theory" > > http://www.tac.mta.ca/tac/reprints/articles/10/tr10.pdf > > Of course, the term "fuzzy categories" is never actually used there. > (You can put the stockwhip down now, Max!) Moreover, it is not clear to > me that "fuzzification" in its usual cottage-industry sense would be > seen by many categorists as the right level of generality. But if you > wanted to do it for some reason, that's probably where to start. > > -Robert Dawson There has been quite a lot of work on fuzzy sets and topos theory: a Google search for "fuzzy sets topos", or "fuzzy logic topos", will turn up quite a lot of it. I find it a bit surprising that there is so much work, given the sociological characteristics of the communities involved. But it's there anyway. Graham White