From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/10217 Path: news.gmane.io!.POSTED.ciao.gmane.io!not-for-mail From: "Michael Barr, Prof." Newsgroups: gmane.science.mathematics.categories Subject: Categories everywhere Date: Sat, 23 May 2020 13:31:33 +0000 Message-ID: Reply-To: "Michael Barr, Prof." Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Injection-Info: ciao.gmane.io; posting-host="ciao.gmane.io:159.69.161.202"; logging-data="1737"; mail-complaints-to="usenet@ciao.gmane.io" To: "categories@mta.ca" Original-X-From: majordomo@rr.mta.ca Sat May 23 16:40:42 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 1jcVKM-0000LM-AF for gsmc-categories@m.gmane-mx.org; Sat, 23 May 2020 16:40:42 +0200 Original-Received: from rr.mta.ca ([198.164.44.159]:54300) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1jcVJ3-0007En-83; Sat, 23 May 2020 11:39:21 -0300 Original-Received: from majordomo by rr.mta.ca with local (Exim 4.92.1) (envelope-from ) id 1jcVGh-0001e3-Qc for categories-list@rr.mta.ca; Sat, 23 May 2020 11:36:55 -0300 Accept-Language: en-US Content-Language: en-US Precedence: bulk Xref: news.gmane.io gmane.science.mathematics.categories:10217 Archived-At: I think it interesting to know that categories are now apparently used in R= amsey theory, one of the last places I would have expected it: https://arxi= v.org/abs/1506.01221 Michael [1506.01221] Categorical Constructions and the Ramsey Property It has become obvious in the recent development that the structural Ramsey = property is a categorical property: it depends not only on the choice of ob= jects, but also on the choice of morphisms involved. In this paper we expli= citely put the Ramsey property and the dual Ramsey property in the context = of categories of finite structures and investigate the invariance of these = properties under some ... arxiv.org [For admin and other information see: http://www.mta.ca/~cat-dist/ ]