From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6867 Path: news.gmane.org!not-for-mail From: Anders Kock Newsgroups: gmane.science.mathematics.categories Subject: Commutative monads as a theory of distributions Date: Tue, 06 Sep 2011 10:13:12 +0200 Message-ID: Reply-To: Anders Kock NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 7bit X-Trace: dough.gmane.org 1315320398 29869 80.91.229.12 (6 Sep 2011 14:46:38 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Tue, 6 Sep 2011 14:46:38 +0000 (UTC) To: Categories Original-X-From: majordomo@mlist.mta.ca Tue Sep 06 16:46:34 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpy.mta.ca ([138.73.1.128]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1R0wv3-0000Ig-P3 for gsmc-categories@m.gmane.org; Tue, 06 Sep 2011 16:46:33 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:58532) by smtpy.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1R0wt6-0002Yj-3t; Tue, 06 Sep 2011 11:44:32 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1R0wt5-0007gA-GB for categories-list@mlist.mta.ca; Tue, 06 Sep 2011 11:44:31 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6867 Archived-At: My preprint, with title "Commutative monads as a theory of distributions", and with the following abstract, has been posted on the arXiv, http://arXiv.org/abs/1108.5952 "The theory of commutative monads on cartesian closed categories provides a framework where aspects of the theory of distributions and other extensive quantities can be formulated and some results proved. We make explicit a link between our theory and the theory of Schwartz distributions of compact support. We also discuss probability distributions." There is also a Section on physical distribution types, as torsors over the corresponding pure quantity type. This preprint subsumes and simplifies most of my two previous postings on the arXiv, namely "Monads and extensive quantities" (arXiv 1103.6009) and "Calculus of extensive quantities" (arXiv 1105.3405). Anders Kock [For admin and other information see: http://www.mta.ca/~cat-dist/ ]