From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/10221 Path: news.gmane.io!.POSTED.ciao.gmane.io!not-for-mail From: David Roberts Newsgroups: gmane.science.mathematics.categories Subject: Old question of McLarty on triposes Date: Wed, 27 May 2020 22:01:35 +0930 Message-ID: Reply-To: David Roberts Mime-Version: 1.0 Content-Type: text/plain; charset="UTF-8" Injection-Info: ciao.gmane.io; posting-host="ciao.gmane.io:159.69.161.202"; logging-data="39241"; mail-complaints-to="usenet@ciao.gmane.io" To: "categories@mta.ca list" Original-X-From: majordomo@rr.mta.ca Thu May 28 15:42:48 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 1jeIo4-000A6Z-Cb for gsmc-categories@m.gmane-mx.org; Thu, 28 May 2020 15:42:48 +0200 Original-Received: from rr.mta.ca ([198.164.44.159]:54788) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1jeImU-0005u1-S2; Thu, 28 May 2020 10:41:10 -0300 Original-Received: from majordomo by rr.mta.ca with local (Exim 4.92.1) (envelope-from ) id 1jeIjp-00005g-JB for categories-list@rr.mta.ca; Thu, 28 May 2020 10:38:25 -0300 Precedence: bulk Xref: news.gmane.io gmane.science.mathematics.categories:10221 Archived-At: Dear all, way back in 1998 Colin McLarty raised the following question: >Can the adjoint lifting theorem for triposes (from Andy Pitts's dissertation) >be gracefully transported to regular categories (presumably >with some supplemental conditions)? If so, the theory of >realizability toposes could be radically simplified, >among other things (see Japp van Oosten's dissertation). has there been any progress on or toward this in the last 22 years? Best regards, David David Roberts Webpage: https://ncatlab.org/nlab/show/David+Roberts Blog: https://thehighergeometer.wordpress.com [For admin and other information see: http://www.mta.ca/~cat-dist/ ]