Slenderness: Volume 1, Abelian Categories

A leading expert presents a unified concept of slenderness in Abelian categories, with numerous open problems and exercises.

List 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.

About the author

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.

Summary

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. It provides over 350 exercises as well as many open problems to inspire further research.

Product details

• Authors: Radoslav Dimitric, DIMITRIC RADOSLAV
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.10.2018
• EAN: 9781108474429
• ISBN: 978-1-108-47442-9
• No. of pages: 330
• Series: Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic; Cambridge Tracts in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Algebra / General, Algebraic Topology, Set theory