Slenderness

Radoslav Dimitric

doi:10.1017/9781108587846

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.

‘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 Source: MathSciNet

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Slenderness

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Contents

Frontmatter
pp i-iv

Dedication
pp v-v

Epigraph
pp vi-vi

Contents
pp vii-viii

Preface
pp ix-xii

Introduction
pp 1-40

1 - Topological Rings and Modules and Their Completions
pp 41-90

2 - Inverse Limits
pp 91-118

3 - The Idea of Slenderness
pp 119-149

4 - Objects of Type Π / ⨿
pp 150-188

5 - Concrete Examples. Slender Rings
pp 189-213

6 - More Examples of Slender Objects
pp 214-236

Appendix - Ordered Sets and Measurable Cardinals
pp 237-250

References
pp 251-273

Notation Index
pp 274-279

Name Index
pp 280-287

Subject Index
pp 288-317

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