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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Medicine Medicine: general issues

• Plný název: Rings of Continuous Functions
• Autor: L. Gillman, M. Jerison
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 300
• EAN: 9780387901985
• ID: 01383484
• Nakladatelství: Springer, Berlin
• Hmotnost: 600 g
• Rozměry: 242 × 160 × 20 mm
• Datum vydání: 04. December 2012

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