From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/10230 Path: news.gmane.io!.POSTED.ciao.gmane.io!not-for-mail From: Matias M Newsgroups: gmane.science.mathematics.categories Subject: Re: Categories everywhere Date: Fri, 5 Jun 2020 10:35:16 -0300 Message-ID: Reply-To: Matias M Mime-Version: 1.0 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable Injection-Info: ciao.gmane.io; posting-host="ciao.gmane.io:159.69.161.202"; logging-data="84160"; mail-complaints-to="usenet@ciao.gmane.io" To: categories@mta.ca Original-X-From: majordomo@rr.mta.ca Sat Jun 06 21:11:30 2020 Return-path: Envelope-to: gsmc-categories@m.gmane-mx.org Original-Received: from smtp2.mta.ca ([198.164.44.55]) by ciao.gmane.io with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.92) (envelope-from ) id 1jheE5-000Lm7-Ch for gsmc-categories@m.gmane-mx.org; Sat, 06 Jun 2020 21:11:29 +0200 Original-Received: from rr.mta.ca ([198.164.44.159]:55742) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1jheDj-00084v-8C; Sat, 06 Jun 2020 16:11:07 -0300 Original-Received: from majordomo by rr.mta.ca with local (Exim 4.92.1) (envelope-from ) id 1jheDZ-0001NH-FY for categories-list@rr.mta.ca; Sat, 06 Jun 2020 16:10:57 -0300 Precedence: bulk Xref: news.gmane.io gmane.science.mathematics.categories:10230 Archived-At: It was a while ago but I believe it was R. F. C. Walters who showed me an extended abstract of a talk that F. W. Lawvere gave at Braga in 2007. It was entitled "Dynamics and Cohesion in Finite Toposes" and included Ramsey theory as a topic to be clarified. Greetings to all, Mat=C3=ADas. El jue., 4 jun. 2020 a las 18:13, Matias M () escribi=C3=B3: > Subject: Categories everywhere > From: Michael Barr, Prof. > Date: 2020-05-23 13:31:33 +0000 > Newsgroup: gmane.science.mathematics.categories > Server: news.gmane.io > > I think it interesting to know that categories are now apparently used in > Ramsey theory, one of the last places I would have expected it: > https://arxiv.org/abs/1506.01221 > > Michael > [1506.01221] Categorical Constructions and the Ramsey Property< > https://arxi=3D > v.org/abs/1506.01221> > It has become obvious in the recent development that the structural Ramse= y > =3D > property is a categorical property: it depends not only on the choice of > ob=3D > jects, but also on the choice of morphisms involved. In this paper we > expli=3D > citely put the Ramsey property and the dual Ramsey property in the contex= t > =3D > of categories of finite structures and investigate the invariance of thes= e > =3D > properties under some ... > arxiv.org > > [For admin and other information see: http://www.mta.ca/~cat-dist/ ]