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Volume 1. Abelian Categories


Part of Cambridge Tracts in Mathematics

  • Date Published: December 2018
  • availability: In stock
  • format: Hardback
  • isbn: 9781108474429

£ 106.00

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About the Authors
  • 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.

    • Changes the field from a collection of disparate results into a coherent body of knowledge
    • Over 350 exercises help the reader gain a deeper understanding of the concepts
    • Presents more than 100 open questions suitable for dissertation topics or further research
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    Reviews & endorsements

    '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

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    Product details

    • Date Published: December 2018
    • format: Hardback
    • isbn: 9781108474429
    • length: 330 pages
    • dimensions: 236 x 157 x 22 mm
    • weight: 0.57kg
    • contains: 355 exercises
    • availability: In stock
  • Table of Contents

    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
    Notation index
    Name Index
    Subject index.

  • Author

    Radoslav Dimitric
    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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