Carlos A. di Prisco,
Jean A. Larson,
Joan Bagaria,
A.R.D. Mathias
e.a.
Springer Netherlands
1998e druk, 1997
9780792349051
Set Theory
Techniques and Applications Curaçao 1995 and Barcelona 1996 Conferences
Specificaties
Gebonden, 226 blz.
|
Engels
Springer Netherlands |
1998e druk, 1997
ISBN13: 9780792349051
Rubricering
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Samenvatting
During the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover the application of sophisticated techniques to problems in analysis, topology, infinitary combinatorics and other areas of mathematics. This book contains a selection of contributions, some of which are expository in nature, embracing various aspects of the latest developments. Amongst topics treated are forcing axioms and their applications, combinatorial principles used to construct models, and a variety of other set theoretical tools including inner models, partitions and trees.
Audience: This book will be of interest to graduate students and researchers in foundational problems of mathematics.
Specificaties
ISBN13:9780792349051
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:226
Uitgever:Springer Netherlands
Druk:1998
Inhoudsopgave
Preface. Articles. Forcing Axioms; M.R. Burke. Large Cardinal Properties of Small Cardinals; J. Cummings. Countable Length Ramsey Games; C. Darby, R. Laver. Weak Forms of the Axiom of Choice and Partitions of Infinite Sets; O. De La Cruz, C.A. Di Prisco. A Taste of Proper Forcing; M. Goldstern. Applications of rho-Functions: Models as Side Conditions; P. Koszmider. An Ordinal Partition from a Scale. A Picaresque Approach to Set Theory Genealogy; J.A. Larson. Recurrent Points and Hyperarithmetic Sets; A.R.D. Mathias. A Tree-Arrowing Graph; E.C. Milner, S. Shelah. A Hollow Shell: Covering Lemmas Without a Core; W.J. Mitchell. Partition Properties for Reals; C.H. Montenegro. Combinatorial Set Theory and Inner Models; E. Schimmerling. Definable Ideals and Gaps in Their Quotients; S. Todorcevic. Index.
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