| 书目名称 | Rings of Continuous Functions |
| 编辑 | Leonard Gillman,Meyer Jerison |
| 视频video | |
| 丛书名称 | The university series in higher mathematics |
| 图书封面 |  |
| 描述 | 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 |
| 出版日期 | Textbook 1960 |
| 关键词 | Compactification; algebra; class; function; functions; knowledge; material; maximum; object; presentation; res |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4615-7819-2 |
| isbn_ebook | 978-1-4615-7819-2 |
| copyright | Springer-Verlag New York 1960 |
发表于 2025-3-21 19:30:13
