From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/2162 Path: news.gmane.org!not-for-mail From: Vaughan Pratt Newsgroups: gmane.science.mathematics.categories Subject: Topological spaces are ? frames Date: Mon, 10 Feb 2003 10:14:25 -0800 Message-ID: <200302101814.KAA16416@coraki.Stanford.EDU> NNTP-Posting-Host: main.gmane.org X-Trace: ger.gmane.org 1241018457 2792 80.91.229.2 (29 Apr 2009 15:20:57 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:20:57 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Mon Feb 10 14:21:06 2003 -0400 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Mon, 10 Feb 2003 14:21:06 -0400 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.10) id 18iIUv-0000oR-00 for categories-list@mta.ca; Mon, 10 Feb 2003 14:17:41 -0400 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 17 Original-Lines: 37 Xref: news.gmane.org gmane.science.mathematics.categories:2162 Archived-At: I'm looking for a better adjective than "eclectic" to use in the equation, "Topological spaces are ?eclectic? frames." "Lax" would be good but for its extant 2-cell connotations. "Relaxed", "mellow" (suggested at an FMCS in Calgary some years ago for tensor products not required to have a right adjoint in either argument), and "laid-back" come to mind. (These tension types were to my generation as snow types are rumored to be to Eskimos.) If someone has already coined an adjective for this purpose, I'll go with that. Otherwise I'll take all recommendations and justifications into consideration. Context: Since comonoids in chu_2 are to biCPOs much as topological spaces are to frames, I'd like to use the same adjective in the analogous equation "Comonoids in chu_2 are ?eclectic? biCPOs." (A biCPO is a CPO whose order dual is also a CPO---does that have a better name btw? The category chu_2 consists of the biextensional (left-separable and right-separable) dyadic (over {0,1}) Chu spaces.) Fran=E7ois Lamarche's casuistries, about which he spoke at the Barrfest, be= ar on this. Any recent news on casuistries? Fran=E7ois? Anyone else working on comonoids in chu_2? That is, besides the team at theory-edge that has spent the last 10 days attacking "Is every T1 comonoid in chu_2 discrete?" for $500, raised to $1000 on Friday, see correspondence starting at http://groups.yahoo.com/group/theory-edge/messages/6957 The puzzle home itself is on Dominic Hughes' machine Thue as http://thue.stanford.edu/puzzle.html I'll settle on the adjective on Feb. 26 (CMCS submission deadline). Vaughan Pratt