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Locally Presentable and Accessible Categories : Cambridge Tracts in Mathematics (Hardcover) - Jiri Adamek

Locally Presentable and Accessible Categories

Cambridge Tracts in Mathematics (Hardcover)

Paperback

Published: 9th May 1994
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The concepts of a locally presentable category and an accessible category are extremely useful in formulating connections between universal algebra, model theory, logic, and computer science. The aim of this book is to provide an exposition of both the theory and the applications of these categories at a level accessible to graduate students. The concepts of lambda-presentable objects, locally lambda-presentable categories, and lambda-accessible categories are discussed in detail. The authors prove that Freyd's essentially algebraic categories are precisely the locally presentable categories. In the final chapter, they treat some advanced topics in model theory.

"...the authors have taken the indicated material, organized it effectively, written a very lucid, readable development of it in 280 pages, and added helpful historical remarks to each chapter and a brief appendix on large cardinals. There are some novel results...most notably a significant improvement of the Gabriel-Ulmer theorem on "local generation" of locally presentable categories." J.R. Isbell, Mathematical Reviews

Preliminaries
Locally presentable categories
Accessible categories
Algebraic categories
Injectivity classes
Categories of models
Vopenka's principle
Large cardinals
Open problems
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521422611
ISBN-10: 0521422612
Series: Cambridge Tracts in Mathematics (Hardcover)
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 332
Published: 9th May 1994
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.88
Weight (kg): 0.49