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In this Topos Institute Colloquium talk, explore how category theory applies to general systems through Double Categorical Systems Theory (DCST). Discover how DCST consolidates important lessons about compositional structures for system representation, behavior, and their interactions. The lecturer examines both established and new concepts regarding the functorial behavior of systems represented by categories of timepieces, while presenting compositionality theorems that apply to these systems. This hour-long presentation from March 6, 2025, offers valuable insights into the mathematical foundations of systems theory through a categorical lens.
