Introduction to Cardinal Arithmetic
Holz, Michael; Steffens, Karsten; Weitz, E.
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Description for Introduction to Cardinal Arithmetic
Paperback. An introduction to modern cardinal arithmetic is presented in this volume, in addition to a survey of results. A discussion of classical theory is included, paired with investigations in pcf theory, which answers questions left open since the 1970's. Series: Modern Birkhauser Classics. Num Pages: 304 pages, biography. BIC Classification: PBCH. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 16. Weight in Grams: 478.
This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the fundamental investigations ... Read more
This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the fundamental investigations ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
304
Condition
New
Series
Modern Birkhauser Classics
Number of Pages
304
Place of Publication
Basel, Switzerland
ISBN
9783034603270
SKU
V9783034603270
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Introduction to Cardinal Arithmetic
From reviews: "The authors aim their text at beginners in set theory. They start literally from the axioms and prove everything they need. The result is an extremely useful text and reference book which is also very pleasant to read." - The Bulletin of Symbolic Logic "The book should be required reading for every advanced graduate student ... Read more