Abstract
Basic category theory notions as objects, morphisms, functors, diagrams, natural transformations, limits, colimits, product and coproduct, pullback and pushout, adjointness, monads are introduced at the informal level.
The high complexity imposes a higher categorical approach.
The higher categories, that is the n-categories, orientals, the periodic table hypothesis, monoidal, braided, sylleptic and symmetric categories, the categorification and the coherence, the computads or polygraphs, the operads and multicategories are informally introduced.
Applicability domains for rewriting systems, are outlined.
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Iordache, O. (2010). Appendices. In: Polystochastic Models for Complexity. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10654-5_7
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DOI: https://doi.org/10.1007/978-3-642-10654-5_7
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