From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/4547 Path: news.gmane.org!not-for-mail From: "R Brown" Newsgroups: gmane.science.mathematics.categories Subject: Re: Categories and functors, query Date: Sun, 7 Sep 2008 22:33:48 +0100 Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain;format=flowed; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241020018 13793 80.91.229.2 (29 Apr 2009 15:46:58 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:46:58 +0000 (UTC) To: Original-X-From: rrosebru@mta.ca Sun Sep 7 20:00:55 2008 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Sun, 07 Sep 2008 20:00:55 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1KcTAD-0002JN-4V for categories-list@mta.ca; Sun, 07 Sep 2008 19:55:25 -0300 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 15 Original-Lines: 84 Xref: news.gmane.org gmane.science.mathematics.categories:4547 Archived-At: There is another curiosity about the axioms for a category, namely the infuence of the known axioms for a groupoid (Brandt, 1926). Bill Cockcroft told me that these axioms had influenced E-M. These axioms were well used in the algebra group at Chicago. However when I asked Sammy about this in 1985 he firmly said `no, and was why the notion of groupoid did not appear as an example in the E-M paper'! Perhaps it was a case of forgetting the influence? Ronnie ----- Original Message ----- From: "Johannes Huebschmann" To: Sent: Saturday, September 06, 2008 11:48 AM Subject: categories: Categories and functors, query > Dear All > > I somewhat recall that, a while ago, we discussed the origins of > the notions of category and functor. S. Mac Lane had once pointed > out to me these origins but from my recollections we did not > entirely reproduce them. > > In his paper > > Samuel Eilenberg and Categories, JPAA 168 (2002), 127-131 > > Saunders Mac Lane clearly pointed out the origins: > > "Category" from Kant (which I had known all the time) > > "Functor" from Carnap's book "Logical Syntax of Language" (which I > had forgotten). > > > Also I have a question, not directly related to the above issue: > > I have seen, on some web page, a copy of > the referee's report about the Eilenberg-Mac Lane paper > where Eilenberg-Mac Lane spaces are introduced. > I cannot find this web page (or the report) > any more. Can anyone provide me with > a hint where I can possibly find it? > > Many thanks in advance > > Johannes > > > > HUEBSCHMANN Johannes > Professeur de Mathematiques > USTL, UFR de Mathematiques > UMR 8524 Laboratoire Paul Painleve > F-59 655 Villeneuve d'Ascq Cedex France > http://math.univ-lille1.fr/~huebschm > > TEL. (33) 3 20 43 41 97 > (33) 3 20 43 42 33 (secretariat) > (33) 3 20 43 48 50 (secretariat) > Fax (33) 3 20 43 43 02 > > e-mail Johannes.Huebschmann@math.univ-lille1.fr > > > -------------------------------------------------------------------------------- No virus found in this incoming message. Checked by AVG - http://www.avg.com Version: 8.0.169 / Virus Database: 270.6.17/1657 - Release Date: 06/09/2008 20:07