Jump to ContentJump to Main Navigation
Category Theory$
Users without a subscription are not able to see the full content.

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

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 14 May 2021



Category Theory

Steve Awodey

Oxford University Press

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

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .