Editors:
- Complements the lectures on Ramsey Methods in Analysis that appeared as separate book (ISBN 3-7643-7264-8)
- Contributions by first-rate authors
- Includes supplementary material: sn.pub/extras
Part of the book series: Trends in Mathematics (TM)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (15 chapters)
-
Front Matter
-
Survey Papers
-
Research Papers
About this book
This volume has its origins in the Research Programme on Set Theory and its Applications that took place at the Centre de Recerca Matemática (CRM) Barcelona from September 2003 to July 2004. It consists of two parts. The first contains survey papers on some of the mainstream areas of set theory, and the second contains original research papers.
The survey papers cover topics as Omega-logic, applications of set theory to lattice theory and Boolean algebras, real-valued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, definable versions of large cardinals, and selection theory for open covers of topological spaces. As for the research papers, they range from topics such as the number of near-coherence classes of ultrafilters, the consistency strength of bounded forcing axioms, P_\kappa\lambda combinatorics, some applications of morasses, subgroups of Abelian Polish groups, adding club subsets of \omega_2 with finite conditions, the consistency strength of mutual stationarity, and new axioms of set theory.
Editors and Affiliations
-
Departament de Lògica, Història I Filosofia de la Ciència, Universitat de Barcelona, Barcelona, Spain
Joan Bagaria
-
Department of Mathematics, University of Toronto, Toronto, Canada
Stevo Todorcevic
-
C.N.R.S., UMR 7056, Université Paris 7, Paris Cedex 05, France
Stevo Todorcevic
Bibliographic Information
Book Title: Set Theory
Book Subtitle: Centre de Recerca Matemàtica Barcelona, 2003-2004
Editors: Joan Bagaria, Stevo Todorcevic
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/3-7643-7692-9
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2006
Hardcover ISBN: 978-3-7643-7691-8Published: 18 July 2006
eBook ISBN: 978-3-7643-7692-5Published: 05 September 2006
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: VII, 406
Topics: Mathematical Logic and Foundations, Order, Lattices, Ordered Algebraic Structures, Combinatorics