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2 results

  • 4 - Objects of Type Π / ⨿

  • Radoslav Dimitric
  • Book:
    Slenderness
    Published online:
    30 November 2018
    Print publication:
    06 December 2018, pp 150-188

  • Summary

    Infinite product over infinite coproduct is an object of prime importance for slenderness. So is pure injectivity and purity. This chapter also looks into filtered quotients in general in order to understand thebigger picture.Countability conditions represent a watershed case. Special cases of modules and domains are examined.

Slenderness
  • Volume 1, Abelian Categories
  • Radoslav Dimitric
  • Published online:
    30 November 2018
    Print publication:
    06 December 2018
  • 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.