Slenderness: Volume 1, Abelian Categories

Author:   Radoslav Dimitric
Publisher:   Cambridge University Press
Volume:   215
ISBN:  

9781108474429


Pages:   330
Publication Date:   06 December 2018
Format:   Hardback
Availability:   Available To Order   Availability explained
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Slenderness: Volume 1, Abelian Categories


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Overview

Slenderness is a concept relevant to the fields of algebra, set theory, and topology. This first book on the subject is systematically presented and largely self-contained, making it ideal for researchers and graduate students. The appendix gives an introduction to the necessary set theory, in particular to the (non-)measurable cardinals, to help the reader make smooth progress through the text. A detailed index shows the numerous connections among the topics treated. Every chapter has a historical section to show the original sources for results and the subsequent development of ideas, and is rounded off with numerous exercises. More than 100 open problems and projects are presented, ready to inspire the keen graduate student or researcher. Many of the results are appearing in print for the first time, and many of the older results are presented in a new light.

Full Product Details

Author:   Radoslav Dimitric
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   215
Dimensions:   Width: 15.70cm , Height: 2.20cm , Length: 23.60cm
Weight:   0.570kg
ISBN:  

9781108474429


ISBN 10:   110847442
Pages:   330
Publication Date:   06 December 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Introduction; 1. Topological rings and modules and their completions; 2. Inverse limits; 3. The idea of slenderness; 4. Objects of type ∏ / \coprod; 5. Concrete examples. Slender rings; 6. More examples of slender objects; Appendix. Ordered sets and measurable cardinals; References; Notation index; Name Index; Subject index.

Reviews

'At the end of every chapter some exercises, problems and notes are gathered which could be very useful for understanding the theory and for future research on this subject.' George Ciprian Modoi, MathSciNet 'At the end of every chapter some exercises, problems and notes are gathered which could be very useful for understanding the theory and for future research on this subject.' George Ciprian Modoi, MathSciNet


Author Information

Radoslav Dimitric was the first to give a complete characterization of slender objects in the general setting of Abelian categories. His research has mostly been concerned with algebra and how it relates to topology and set theory, but his research also includes the history of mathematics, mathematics education and financial engineering.

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