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Category Theory$
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Steve Awodey

Print publication date: 2006

Print ISBN-13: 9780198568612

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198568612.001.0001

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CATEGORIES

CATEGORIES

Chapter:
(p.1) 1 CATEGORIES
Source:
Category Theory
Author(s):

Steve Awodey

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198568612.003.0001

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

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