From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7919 Path: news.gmane.org!not-for-mail From: "Fred E.J. Linton" Newsgroups: gmane.science.mathematics.categories Subject: Re: adjoints to lax-idempotent algebra structures Date: Sun, 17 Nov 2013 15:43:45 -0500 Message-ID: Reply-To: "Fred E.J. Linton" NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1384732819 26449 80.91.229.3 (18 Nov 2013 00:00:19 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Mon, 18 Nov 2013 00:00:19 +0000 (UTC) To: Michael Shulman , categories Original-X-From: majordomo@mlist.mta.ca Mon Nov 18 01:00:24 2013 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.1.186]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1ViCGO-00036R-Kc for gsmc-categories@m.gmane.org; Mon, 18 Nov 2013 01:00:24 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:39173) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1ViCFb-0006Lz-H8; Sun, 17 Nov 2013 19:59:35 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1ViCFc-0001zP-2g for categories-list@mlist.mta.ca; Sun, 17 Nov 2013 19:59:36 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7919 Archived-At: On Sun, 17 Nov 2013 08:42:00 AM EST, Michael Shulman asked: > Let T be a lax-idempotent (i.e. Kock-Zoberlein) 2-monad (or > pseudomonad). Then to give a pseudo T-algebra structure on an object > A is to give a left adjoint a : TA -> A to the unit e : A -> TA. Has > anyone studied and/or named the class of T-algebras for which the > algebra structure map admits a further left adjoint? In examples, > this seems to be a sort of "super-exactness" condition. If it's not too much like Macy's telling Gimbel's, could you share with u= s here a few such examples, please? Thanks. And cheers. -- Fred = [For admin and other information see: http://www.mta.ca/~cat-dist/ ]