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Titlebook: Categories for the Working Mathematician; Saunders Mac Lane Textbook 1978Latest edition Springer Science+Business Media New York 1978 Adjo

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Karin Bruckmüller,Ulrich Schrothn a set-theoretical basis in the next section. Hence for this section a category will not be described by sets (of objects and of arrows) and functions (domain, codomain, composition) but by axioms as in § I.1.
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Organic Opals: Properties and Applicationse abelian groups and composition is bilinear), all finite limits and colimits exist, and these limits — especially kernel and cokernel — are well behaved. This leads to a set of axioms describing an “abelian” category. The axioms suffice to prove all the facts about commuting diagrams and connecting
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Hans van Ditmarsch,Barteld Kooiprincipal result for these categories was a “coherence” theorem: If a certain pentagonal diagram (§VII.1.5) in . commutes, then all diagrams involving this . must commute. We now consider various extensions of this result.
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