Surveys in set theory
 Responsibility
 edited by A.R.D. Mathias.
 Imprint
 Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1983.
 Physical description
 1 online resource (247 pages) : illustrations
 Series
 London Mathematical Society lecture note series ; 87. 00760552
Online
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Description
Creators/Contributors
 Contributor
 Mathias, A. R. D. (Adrian Richard David), 1944
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 1. Iterated Forcing James E. Baumgartner
 2. The Yorkshireman's guide to proper forcing Keith J. Devlin
 3. The singular cardinals problem
 independence results Sharon Shelah
 4. Trees, norms and scales David Guaspari
 5. On the regularity of ultrafilters Karel Prikry
 6. Morasses in combinatorial set theory Akihiro Kanamori
 7. A short course on gapone morasses with a review of the fine structure of L Lee Stanley.
 (source: Nielsen Book Data)
 Publisher's summary

This book comprises five expository articles and two research papers on topics of current interest in set theory and the foundations of mathematics. Articles by Baumgartner and Devlin introduce the reader to proper forcing. This is a development by Saharon Shelah of Cohen's method which has led to solutions of problems that resisted attack by forcing methods as originally developed in the 1960s. The article by Guaspari is an introduction to descriptive set theory, a subject that has developed dramatically in the last few years. Articles by Kanamori and Stanley discuss one of the most difficult concepts in contemporary set theory, that of the morass, first created by Ronald Jensen in 1971 to solve the gaptwo conjecture in model theory, assuming Goedel's axiom of constructibility. The papers by Prikry and Shelah complete the volume by giving the reader the flavour of contemporary research in set theory. This book will be of interest to graduate students and research workers in set theory and mathematical logic.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 1983
 Series
 London Mathematical Society lecture note series, 00760552 ; 87
 ISBN
 9781107361034 (electronic bk.)
 1107361036 (electronic bk.)
 0521277337
 9780521277334
 9780511758867