Authors:
- Self-contained introduction to cardinal arithmetic which also includes pcf theory
- Gives a relatively complete survey of results provable in ZFC
- Includes supplementary material: sn.pub/extras
Part of the book series: Modern Birkhäuser Classics (MBC)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
Reviews
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 of set theory. Several courses at various levels could be based on the earlier chapters. There is a useful set of exercises at the end of most sections in the first four chapters." - Mathematical Reviews
“The book under review, while truly an introduction to the beautiful subject of cardinal arithmetic … . the reader should really want to become a set theorist himself, if he’s to go any real distance with this book. But there are lots of exercises (that look pretty sporty to me), and the authors have taken great pains to prove everything very carefully and thoroughly. It’s obviously a fine source for those inclined to go this route.” (Michael Berg, The Mathematical Association of America, April, 2010)
Authors and Affiliations
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Institut für Mathematik, Universität Hannover, Hannover, Germany
M. Holz, K. Steffens
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Hamburg, Germany
E. Weitz
Bibliographic Information
Book Title: Introduction to Cardinal Arithmetic
Authors: M. Holz, K. Steffens, E. Weitz
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-3-0346-0330-0
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Springer Basel AG 1999
Hardcover ISBN: 978-3-7643-6124-2
Softcover ISBN: 978-3-0346-0327-0
eBook ISBN: 978-3-0346-0330-0
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: VII, 304
Additional Information: Originally published in the series: Birkhäuser Advanced Texts
Topics: Discrete Mathematics, Mathematical Logic and Foundations