The geometry of semaphore programs
ACM Transactions on Programming Languages and Systems (TOPLAS)
Higher dimensional automata revisited
Mathematical Structures in Computer Science
Algebraic topology and concurrency
Theoretical Computer Science - Clifford lectures and the mathematical foundations of programming semantics
Comparing Topological Models for Concurrency
Electronic Notes in Theoretical Computer Science (ENTCS)
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We describe an abstract framework in which the notion of fundamental category can be defined. The structures matching this framework are categories endowed with some additional structure. Provided we have a suitable adjunction between two of them, the fundamental categories defined in both cases can be easily compared. Each of these structures has a ''natural'' functor to the category of d-spaces [Marco Grandis. Directed homotopy theory, i. the fundamental category. Cahiers de Topologie et Geometrie Differentielle Categoriques, 44(3):281-316, 2003.] and provide a Van Kampen like theorem. As an application we compare the fundamental categories of streams [Sanjeevi Krishnan. Directed Algebraic Topology and Concurrency. PhD thesis, Chicago University, 2006. Sanjeevi Krishnan. A convenient category of locally preordered spaces. Applied Categorical Structures, 17(5):445-466, 2009.] and d-spaces, actually proving that streams and d-spaces are almost the same notion.