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I have learnt Algebrac Topology for some months . I learn by myself without teacher and I realize I need more knowledge at Algebra, Homology and Category theory . I just knew a book of Maclane but I am not interested in his style and want to some book which write brief ( enough to use ) . Could someone recommend me some books at Category theory .

amWhy
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2 Answers2

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Try Category theory in context by Emily Riehl or Abstract and Concrete Categories, The Joy of Cats by J. Adamek, H. Herrlich and G. E. Strecker.

J.-E. Pin
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The first volume of Borceux's Handbook of Categorical Algebra is also quite a good book. My only caveat to it as a category theory intro is that monads tend to appear in most introductory texts, but Borceux defers them until volume 2; otherwise it's nicely thorough.