From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/525 Path: news.gmane.org!not-for-mail From: categories Newsgroups: gmane.science.mathematics.categories Subject: preprints available Date: Thu, 13 Nov 1997 15:56:11 -0400 (AST) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241017016 26119 80.91.229.2 (29 Apr 2009 14:56:56 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 14:56:56 +0000 (UTC) To: categories Original-X-From: cat-dist Thu Nov 13 15:58:18 1997 Original-Received: by mailserv.mta.ca; id AA00103; Thu, 13 Nov 1997 15:56:11 -0400 Original-Lines: 32 Xref: news.gmane.org gmane.science.mathematics.categories:525 Archived-At: Date: Wed, 12 Nov 1997 14:16:30 +0100 (MET) From: Anders Kock The following preprints are available: Differential Forms as Infinitesimal Cochains This is essentially my contribution at the Vancvouver Category Theory Meeting in July. It proves that the simplicial complex given by the first neighbourhood of the diagonal of a manifold (in a well adapted model for SDG) has de Rham cohomology of the manifold as its R-dual. Extension Theory for Local Groupoids We relate Extension Theory for (non-abelian) groups (a la Eilenberg-Mac Lane) with the theory of Connections (a la Ehresmann), via a notion of local groupoid. In particular, we give in this setting a kind of converse to the statement "the curvature 2-form of a connection satisfies Bianchi identity". Both these preprints are accessible via my home page: http://www.mi.aau.dk/~kock/ or directly at ftp://ftp.mi.aau.dk/pub/kock/Cochains.ps (respectively ../locg.ps) Anders Kock