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Questions asking for recommendations of textbooks on some subject. It can be helpful to indicate whether the request is for self-study, for use in a course one teaches, for use accompanying a course one takes etc., and to give some additional details on the context. Typically, additional tags are used to indicate the subject. For other questions on books, please use the tag books. Also, see reference-request for a related tag.

61 votes
8 answers
7k views

Natural transformations as categorical homotopies

Every text book I've ever read about Category Theory gives the definition of natural transformation as a collection of morphisms which make the well known diagrams commute. There is another possible d …
Giorgio Mossa's user avatar
41 votes

Is Mac Lane still the best place to learn category theory?

I doubt that someone could learn higher category theory (and more in general higher dimensional algebra) without first studying a little of category theory, mostly because the definition given in such …
4 votes

Natural transformations as categorical homotopies

Following the previous indication of Professor Brown I want to add another possible way to see natural transformation which is a generalization of the previous definition. Given categories $\mathc …
Giorgio Mossa's user avatar