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Chapter

CATEGORIES

Steve Awodey

in Category Theory

Published in print May 2006 | ISBN: 9780198568612
Published online September 2007 | e-ISBN: 9780191717567 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780198568612.003.0001

Series: Oxford Logic Guides

CATEGORIES

Preview

This chapter begins with a discussion of category theory, which can be defined as the mathematical study of (abstract) algebras of functions. The functions of sets, definitions of a category, examples of categories, isomorphisms, constructions on categories, free categories, and foundation are discussed. Exercises are provided in the last part of the chapter.

Keywords: functions; categories; isomorphisms; foundations

Chapter.  8344 words.  Illustrated.

Subjects: algebra

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