Cardinal Arithmetic

Hardcover | March 1, 1988

bySaharon Shelah

not yet rated|write a review
Is the continuum hypothesis still open? If we interpret it as finding the laws of cardinal arithmetic (really exponentiation since addition and multiplication were classically solved), it was thought to be essentially solved by the independence results of Godel and Cohen (and Easton) with some isolated positive results (likeGalvin-Hajnal). It was expected that only more independence results remained to be proved. The author has come to change his view. This enables us to get new results for the conventional cardinal arithmetic, thus supporting the interest in our view. We also find other applications, extend older methods of using normal fiters and prove the existence of Jonsson algebra.

Pricing and Purchase Info

$348.70 online
$435.00 list price (save 19%)
Ships within 1-3 weeks
Ships free on orders over $25

From the Publisher

Is the continuum hypothesis still open? If we interpret it as finding the laws of cardinal arithmetic (really exponentiation since addition and multiplication were classically solved), it was thought to be essentially solved by the independence results of Godel and Cohen (and Easton) with some isolated positive results (likeGalvin-Haj...

Saharon Shelah is at The Hebrew University of Jerusalem.

other books by Saharon Shelah

Around Classification Theory of Models
Around Classification Theory of Models

Paperback|Apr 1 1986

$90.95

Format:HardcoverDimensions:512 pages, 9.21 × 6.14 × 1.26 inPublished:March 1, 1988Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198537859

ISBN - 13:9780198537854

Look for similar items by category:

Customer Reviews of Cardinal Arithmetic

Reviews

Extra Content

Table of Contents

1. Basic confinalities of small reduced products2. No+1 has a Jonsson algebra3. There are Jonsson algebras in many inaccessible cardinals4. Jonsson algebras in inaccessibles P , not P-Mahlo5. Bounding pp(m ) when m cf(m) N0 using ranks and normal filters6. Bounds of power of singulars: Induction7. Strong covering lemma and CH in V[r]8. Advanced: Cofinalities of reduced products9. Cardinal ArithmeticAppendix 1: ColoringsAppendix 2: Entangled orders and narrow Boolean algebras

Editorial Reviews

This is a very important book. It is essential reading for anyone working in set theory and its applications. Bull.London Math.Soc.