Rings of Continuous Functions (Dover Books on Mathematics)

Rings of Continuous Functions (Dover Books on Mathematics)

$25.27
Sale price  $25.27 Regular price  $27.80
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Rings of Continuous Functions (Dover Books on Mathematics)

Rings of Continuous Functions (Dover Books on Mathematics)

$25.27
Sale price  $25.27 Regular price  $27.80
SKU: DADAX0486816885
ISBN: 9780486816883
Publisher: Dover Publications
Availability: Out of Stock
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Description

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 graduatelevel 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 StoneCech 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.

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