Slenderness
Slenderness
$148.00
USDSlenderness 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
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
Product details
November 2018Adobe eBook Reader
9781108639668
0 pages
355 exercises
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.
