- Hardcover: 348 pages
- Publisher: Elsevier Science Ltd (July 1984)
- Language: English
- ISBN-10: 0444861572
- ISBN-13: 978-0444861573
- See Complete Table of Contents
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Product Details |
Product Description
Product Description
This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the main partition symbols scattered in the literature. A chapter on the applications of the combinatorial methods in partition calculus includes a section on topology with Arhangel'skii's famous result that a first countable compact Hausdorff space has cardinality, at most continuum. Several sections on set mappings are included as well as an account of recent inequalities for cardinal powers that were obtained in the wake of Silver's breakthrough result saying that the continuum hypothesis can not first fail at a singular cardinal of uncountable cofinality.
Inside This Book
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First Sentence
The notations generally used in this book are given in the first section, then there follows a section listing the axioms of Zermelo-Fraenkel set theory. Read the first page Browse Sample Pages
Front Cover | Copyright | Table of Contents | Excerpt | Index
The notations generally used in this book are given in the first section, then there follows a section listing the axioms of Zermelo-Fraenkel set theory. Read the first page Browse Sample Pages
Front Cover | Copyright | Table of Contents | Excerpt | Index
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