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Basic Category Theory

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arxiv 1612.09375 v2 pith:2XUYN5MA submitted 2016-12-30 math.CT math.ATmath.LO

classification math.CTmath.ATmath.LO
keywords mathematicsbasiccategorychapterconceptfunctorstheorythree
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This short introductory category theory textbook is for readers with relatively little mathematical background (e.g. the first half of an undergraduate mathematics degree). At its heart is the concept of a universal property, important throughout mathematics. After a chapter introducing the basic definitions, separate chapters present three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties the three together. For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations.

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Cited by 3 Pith papers

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