This article is now published, on Cahiers, and downloadable: The topology of critical processes, II (The fundamental category) Marco Grandis Cah. Topol. Géom. Différ. Catég. 65 (2024), no. 4, 438–483. https://cahierstgdc.com/index.php/volume-lxv-2024/ Abstract. Directed Algebraic Topology studies spaces equipped with a form of direction, to include models of non-reversible processes. In the present extension we also want to cover critical processes, indecomposable and unstoppable. The first part of this series introduced controlled spaces, examining how they can model critical processes in various domains, from the change of state in a memory cell to the action of a thermostat or a siphon. We now construct the fundamental category of these spaces. —————————————— Part I is in the same volume: Cah. Topol. Géom. Différ. Catég. 65 (2024), no. 1, 3–34. https://cahierstgdc.com/index.php/volume-lxv-2024/ —————————————— Regards, Marco Grandis New email address: grandismrc@gmail.com You're receiving this message because you're a member of the Categories mailing list group from Macquarie University. To take part in this conversation, reply all to this message. View group files<https://outlook.office365.com/owa/categories@mq.edu.au/groupsubscription.ashx?source=EscalatedMessage&action=files&GuestId=6bf90c14-94d1-45b7-a0b5-9dd447734d27> | Leave group<https://outlook.office365.com/owa/categories@mq.edu.au/groupsubscription.ashx?source=EscalatedMessage&action=leave&GuestId=6bf90c14-94d1-45b7-a0b5-9dd447734d27> | Learn more about Microsoft 365 Groups<https://aka.ms/o365g>