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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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FUNCTORS AND NATURALITY

FUNCTORS AND NATURALITY

Chapter:
(p.125) 7 FUNCTORS AND NATURALITY
Source:
Category Theory
Author(s):

Steve Awodey

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198568612.003.0007

This chapter develops a general theory for functors. Topics discussed include category of categories, representable structure, stone duality, naturality, examples of natural transformations, exponentials of categories, functor categories, and equivalence of categories. The chapter ends with some exercises.

Keywords:   categories, representable structure, stone duality, naturality, natural transformations, functor categories, equivalence

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