Verwandte Artikel zu Rings of Continuous Functions: 43 (The University Series...
Inhaltsangabe
Book by Gillman L Jerison M
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Reseña del editor
This book is addressed to those who know the meaning of each word in the title: none is defined in the text. The reader can estimate the knowledge required by looking at Chapter 0; he should not be dis couraged, however, if he finds some of its material unfamiliar or the presentation rather hurried. Our objective is a systematic study of the ring C(X) of all real-valued continuous functions on an arbitrary topological space X. We are con cerned with algebraic properties of C(X) and its subring C*(X) of bounded functions and with the interplay between these properties and the topology of the space X on which the functions are defined. Major emphasis is placed on the study of ideals, especially maximal ideals, and on their associated residue class rings. Problems of extending continuous functions from a subspace to the entire space arise as a necessary adjunct to this study and are dealt with in considerable detail. The contents of the book fall naturally into three parts. The first, comprising Chapters 1 through 5 and the beginning of Chapter 10, presents the fundamental aspects of the subject insofar as they can be discussed without introducing the Stone-Cech compactification. In Chapter 3, the study is reduced to the case of completely regular spaces.
Reseña del editor
The objective of this book is the systematic study of the ring of all real valued continuous functions on arbitrary topological spaces. Great emphasis is placed on the study of ideals, and on the associated residue class rings. Questions of extending continuous functions from a subspace to the entire space arise as a necessary adjunct and are dealt with in considerable detail. Many problems provide additional information about the material covered in the text.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
- VerlagSpringer-Verlag New York Inc.
- Erscheinungsdatum1976
- ISBN 10 0387901981
- ISBN 13 9780387901985
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten309
Weitere beliebte Ausgaben desselben Titels
Suchergebnisse für Rings of Continuous Functions: 43 (The University Series...
Beispielbild für diese ISBN
Rings of Continuous Functions
Anbieter: ThriftBooks-Dallas, Dallas, TX, USA
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.34. Artikel-Nr. G0387901981I4N00
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Rings of Continuous Functions
Anbieter: ThriftBooks-Atlanta, AUSTELL, GA, USA
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.34. Artikel-Nr. G0387901981I4N00
Anzahl: 1 verfügbar