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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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EXPONENTIALS

EXPONENTIALS

Chapter:
(p.105) 6 EXPONENTIALS
Source:
Category Theory
Author(s):

Steve Awodey

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198568612.003.0006

This chapter focuses on another elementary universal structure, which is also an example of a universal that is not a limit. This important structure is called an ‘exponential’ and it can be thought of as a categorical notion of a ‘function space’. Topics discussed include exponential in a category, Cartesian closed categories, Heyting algebras, and equational definition. Exercises are provided in the last part of the chapter.

Keywords:   exponential in a category, Cartesian closed categories, Heyting algebras, equational definition

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