Rings of Continuous Functions

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Rings of Continuous Functions by Leonard Gillman, Meyer Jerison, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Leonard Gillman, Meyer Jerison ISBN: 9780486827452
Publisher: Dover Publications Publication: November 29, 2017
Imprint: Dover Publications Language: English
Author: Leonard Gillman, Meyer Jerison
ISBN: 9780486827452
Publisher: Dover Publications
Publication: November 29, 2017
Imprint: Dover Publications
Language: English

Designed as a text as well as a treatise for active mathematicians, this volume begins with an unusual notice: "The book is addressed to those who know the meaning of each word in the title." As such, it constituted the first systematic account of the theory of rings of continuous functions, and it has retained its secure position as the basic graduate-level book in this area.
The authors focus on characterizing the maximal ideals and classifying their residue class fields. Problems concerning extending continuous functions from a subspace to the entire space play a fundamental role in the study, and these problems are discussed in extensive detail. A thorough treatment of the Stone-Čech compactification is supplemented with a number of related topics: the Ulam measure problem, the theory of uniform spaces, and a small but significant portion of dimension theory. Hundreds of problems of varying difficulty appear throughout the text, providing additional details, describing counterexamples, and outlining new topics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Designed as a text as well as a treatise for active mathematicians, this volume begins with an unusual notice: "The book is addressed to those who know the meaning of each word in the title." As such, it constituted the first systematic account of the theory of rings of continuous functions, and it has retained its secure position as the basic graduate-level book in this area.
The authors focus on characterizing the maximal ideals and classifying their residue class fields. Problems concerning extending continuous functions from a subspace to the entire space play a fundamental role in the study, and these problems are discussed in extensive detail. A thorough treatment of the Stone-Čech compactification is supplemented with a number of related topics: the Ulam measure problem, the theory of uniform spaces, and a small but significant portion of dimension theory. Hundreds of problems of varying difficulty appear throughout the text, providing additional details, describing counterexamples, and outlining new topics.

More books from Dover Publications

Cover of the book First German Reader by Leonard Gillman, Meyer Jerison
Cover of the book Examples of Greek and Pompeian Decorative Work by Leonard Gillman, Meyer Jerison
Cover of the book The Metaphysics by Leonard Gillman, Meyer Jerison
Cover of the book Philosophy and Civilization in the Middle Ages by Leonard Gillman, Meyer Jerison
Cover of the book Authentic Victorian Fashion Patterns by Leonard Gillman, Meyer Jerison
Cover of the book Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements by Leonard Gillman, Meyer Jerison
Cover of the book A History of Mechanical Inventions by Leonard Gillman, Meyer Jerison
Cover of the book The Thing at the Foot of the Bed and Other Scary Tales by Leonard Gillman, Meyer Jerison
Cover of the book Poems of Faith by Leonard Gillman, Meyer Jerison
Cover of the book English Wood-Engraving 1900-1950 by Leonard Gillman, Meyer Jerison
Cover of the book 100 Victorian Architectural Designs for Houses and Other Buildings by Leonard Gillman, Meyer Jerison
Cover of the book A Handbook of Weaves by Leonard Gillman, Meyer Jerison
Cover of the book Category Theory in Context by Leonard Gillman, Meyer Jerison
Cover of the book Favorite Russian Fairy Tales by Leonard Gillman, Meyer Jerison
Cover of the book The Gentleman and Cabinet-Maker's Director by Leonard Gillman, Meyer Jerison
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy