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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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DUALITY

DUALITY

Chapter:
(p.47) 3 DUALITY
Source:
Category Theory
Author(s):

Steve Awodey

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198568612.003.0003

Examples of definitions and statements which exhibit a kind of ‘duality’, such as initial and terminal object and epimorphisms and monomorphisms have been shown. This chapter now considers this duality more systematically. Despite its rather trivial first impression, it is indeed a deep and powerful aspect of the categorical approach. Topics discussed include the duality principle, coproducts, equalizers, and coequalizers. Exercises are provided at the end of the chapter.

Keywords:   duality principle, coproducts, equalizers, coequalizers

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