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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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ABSTRACT STRUCTURES

ABSTRACT STRUCTURES

Chapter:
(p.25) 2 ABSTRACT STRUCTURES
Source:
Category Theory
Author(s):

Steve Awodey

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198568612.003.0002

This chapter focuses on abstract characterizations. It is shown that one of the basic ways of giving abstract characterization is via a Universal Mapping Property (UMP). Epis and monos, initial and terminal objects, generalized elements, sections and retractions, products, categories with products, and hom-sets are discussed. Exercises are provided in the last part of the chapter.

Keywords:   abstract characterization, Universal Mapping Property, epis and monos, initial objects, terminal objects, generalized elements, hom-sets

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