From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1000 Path: news.gmane.org!not-for-mail From: Dusko Pavlovic Newsgroups: gmane.science.mathematics.categories Subject: Re: first reference to "dualizing object"? Date: Wed, 20 Jan 1999 12:07:35 -0800 Message-ID: <36A63787.FFEC3A75@kestrel.edu> References: <199901201640.RAA18661@lisa.iti.cs.tu-bs.de> NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241017453 28889 80.91.229.2 (29 Apr 2009 15:04:13 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:04:13 +0000 (UTC) Cc: categories list To: Koslowski Original-X-From: cat-dist Wed Jan 20 21:27:46 1999 Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.8.8/8.8.8) id UAA22690 for categories-list; Wed, 20 Jan 1999 20:09:12 -0400 (AST) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f X-Mailer: Mozilla 4.5 [en] (X11; U; SunOS 5.5.1 sun4u) X-Accept-Language: en Original-Sender: cat-dist@mta.ca Precedence: bulk Original-Lines: 17 Xref: news.gmane.org gmane.science.mathematics.categories:1000 Archived-At: > A referee attributed the notion of "dualizing object" in the context > of *-autonomous to Grothendieck, but wasn't sure of the exact > reference. Does somebody out there happen to know, where this was > introduced first? hi. there is probably a bit of duality in Grothendieck's TVS book. perhaps there is more in one of his functional analysis papers from the 50es, all referenced in the book. an even earlier source, with a hint of the chu construction, is George Mackey's work on barreled spaces, as pointed out to me by Bill Lawvere. -- dusko