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Introduction to Category Theory
Introduction to Category Theory
Date: 21 June 2011, 01:27

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Category theory is a relatively young branch of mathematics that has been growing quite rapidly both in content and applicability to other branches of the subject. As Professor MacLane's book title suggests, all working mathematicians require some knowledge of it. So it was that I gave a course and ran seminars on category theory during the past few years at Temple University. This book is an outgrowth of those. There was, I felt, a need for a sufficiently short and coherent treatment of the basic notions and results for a first course or for a first reading by oneself. This Introduction would, I hope, provide such a treatment. To keep the coverage sufficiently short, many topics of active study and interest had to be dropped; there is no mention in this book of homological algebra, Abelian categories, or topos theory. The text ends with a treatment of adjoint functors.

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