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

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Kan Extensions,tal concepts in category theory. With them we find again that each fundamental concept can be expressed in terms of the others. This chapter begins by expressing adjoints as limits and ends by expressing “everything” as Kan extensions.

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https://doi.org/10.1007/978-3-319-16333-8First we describe categories directly by means of axioms, without using any set theory, and call them “metacategories”. Actually, we begin with a simpler notion, a (meta)graph.

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