From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1115 Path: news.gmane.org!not-for-mail From: Philippe Gaucher Newsgroups: gmane.science.mathematics.categories Subject: question about weak omega category Date: Wed, 5 May 1999 10:56:27 +0200 Message-ID: <199905050856.AA04136@irmast1.u-strasbg.fr> 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 1241017576 29568 80.91.229.2 (29 Apr 2009 15:06:16 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:06:16 +0000 (UTC) To: categories@mta.ca Original-X-From: cat-dist Thu May 6 23:34:33 1999 Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.9.3/8.9.3) id WAA09195 for categories-list; Thu, 6 May 1999 22:49:01 -0300 (ADT) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f Content-Md5: Euc/9sKQD1d14kX/w8LLWw== Original-Sender: cat-dist@mta.ca Precedence: bulk Original-Lines: 26 Xref: news.gmane.org gmane.science.mathematics.categories:1115 Archived-At: Bonjour, Let us call cubical omega-category a cubical complex with connections and operations +_j like in the paper "On the algebra of cube", Brown & Higgins or like in Al-Agl's PhD "Aspect of multiple categories". There is a conjecture which claims that the category of cubical omega-categories is equivalent to the category of globular omega-categories. If I understand correctly, the conjecture was proved in some richer framework but seems to be (in my knowledge) still open as stated above. My question is : is there a similar conjecture for weak omega-category ? Is there a notion of cubical weak omega-category somewhere in the literature and a notion of globular weak omega-category ? Any reference is welcome. I have found nothing with the usual research engine but maybe I did not use the good key-word. pg.