Erweiterte
Suche ›

The Stone-Čech Compactification

Springer Berlin,
Buch
149,79 € Lieferbar in 5-7 Tagen
Dieses Produkt ist auch verfügbar als:

Kurzbeschreibung

Recent research has produced a large number of results concerning the Stone-Cech compactification or involving it in a central manner. The goal of this volume is to make many of these results easily accessible by collecting them in a single source together with the necessary introductory material. The author's interest in this area had its origin in his fascination with the classic text Rings of Continuous Functions by Leonard Gillman and Meyer Jerison. This excellent synthesis of algebra and topology appeared in 1960 and did much to draw attention to the Stone-Cech compactification {3X as a tool to investigate the relationships between a space X and the rings C(X) and C*(X) of real-valued continuous functions. Although in the approach taken here {3X is viewed as the object of study rather than as a tool, the influence of Rings of Continuous Functions is clearly evident. Three introductory chapters make the book essentially self-contained and the exposition suitable for the student who has completed a first course in topology at the graduate level. The development of the Stone Cech compactification and the more specialized topological prerequisites are presented in the first chapter. The necessary material on Boolean algebras, including the Stone Representation Theorem, is developed in Chapter 2. A very basic introduction to category theory is presented in the beginning of Chapter 10 and the remainder of the chapter is an introduction to the methods of categorical topology as it relates to the Stone-Cech compactification.

Details
Schlagworte

Titel: The Stone-Čech Compactification
Autoren/Herausgeber: R.C. Walker
Aus der Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Ausgabe: 1974

ISBN/EAN: 9783642619373

Seitenzahl: 334
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 527 g
Sprache: Englisch

buchhandel.de - Newsletter
Möchten Sie sich für den Newsletter anmelden?


Bitte geben Sie eine gültige E-Mail-Adresse ein.
Lieber nicht