From mboxrd@z Thu Jan 1 00:00:00 1970 X-Spam-Checker-Version: SpamAssassin 3.4.4 (2020-01-24) on inbox.vuxu.org X-Spam-Level: X-Spam-Status: No, score=0.7 required=5.0 tests=LOCALPART_IN_SUBJECT autolearn=no autolearn_force=no version=3.4.4 Received: (qmail 19834 invoked from network); 9 Sep 2023 23:34:47 -0000 Received: from smtp2.mta.ca (198.164.44.75) by inbox.vuxu.org with ESMTPUTF8; 9 Sep 2023 23:34:47 -0000 Received: from rr.mta.ca ([198.164.44.159]:53680) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1qf7On-0005n9-AW; Sat, 09 Sep 2023 20:29:57 -0300 Received: from majordomo by rr.mta.ca with local (Exim 4.92.1) (envelope-from ) id 1qf7OL-0006Jq-CH for categories-list@rr.mta.ca; Sat, 09 Sep 2023 20:29:29 -0300 From: Marco Grandis Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: quoted-printable MIME-Version: 1.0 (Mac OS X Mail 16.0 \(3696.80.82.1.1\)) Date: Thu, 7 Sep 2023 10:20:40 +0200 Subject: categories: The topology of critical processes To: categories list Precedence: bulk Reply-To: Marco Grandis Message-Id: This preprint is now available: The topology of critical processes, I (Processes and models) =20= M. Grandis https://arxiv.org/abs/2309.01991 [math.AT] 23 pages Abstract. This article belongs to a subject, Directed Algebraic = Topology, whose general aim is including non-reversible processes in the = range of topology and algebraic topology. Here, as a further step, we = also want to cover `critical processes', indivisible and unstoppable.=20 This introductory article is devoted to fixing the new framework and = representing processes of diverse domains, with minimal mathematical = prerequisites. The fundamental category and singular homology in the = present setting will be dealt with in a sequel. Regards Marco Grandis [For admin and other information see: http://www.mta.ca/~cat-dist/ ]