Basic category theory

by Leinster, Tom

Type Book

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Title Statements

Full title :Basic category theory / Tom Leinster.

Summary

At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in courses or for independent study. Assuming relatively little mathematical background, it is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. 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. Copious exercises are included.

Edition Statements

Publication Date:2014

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2014

Notes

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

The Physical Object

Description:1 online resource (viii, 183 Seiten)

Edition Identifiers

ISBN:9781107360068, 1107360064, 9781107044241, 1107044243
DOI:10.1017/CBO9781107360068
oclc:ocn992849620
LC Classification:QA169
Dewey Decimal:512/.62

Categories, functors and natural transformations -- Adjoints -- Interlude on sets -- Representables -- Limits -- Adjoints, representables and limits -- Appendix: Proof of the general adjoint functor theorem.