Cambridge Tracts in Mathematics Slenderness: Series Number 215: Volume 1: Abelian Categories

Radoslav Dimitric

323 pages, parution le 05/12/2018

Ajouter à une liste

Indisponible

Résumé

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.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.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.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.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Radoslav Dimitric
Parution	05/12/2018
Nb. de pages	323
EAN13	9781108474429

Avantages Eyrolles.com

Livraison à partir de 0,01 € en France métropolitaine

Paiement en ligne SÉCURISÉ

Livraison dans le monde

Retour sous 15 jours

+ d'un million et demi de livres disponibles

Cambridge Tracts in Mathematics Slenderness: Series Number 215: Volume 1: Abelian Categories

Résumé

Caractéristiques techniques

Consultez aussi