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Definition 1.1. A category consists of the following data:
• Objects: A,B,C,...
• Arrows : f,g,h,...
• For each arrow f, there are given objects dom(f), cod(f) called the domain and codomain of f. We write f : A → B to indicate that A =dom(f)andB =cod(f).
• Given arrows f : A → B and g : B → C, that is, with cod(f)=dom(g)
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owner: LustrzanyDotyk - (no access) - (Oxford Logic Guides 52) Steve Awodey-Category Theory-Oxford University Press (2010).pdf, p21


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