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Trends in Mathematics

Set Theory

Centre de Recerca Matemàtica Barcelona, 2003-2004

Editors: Bagaria, Joan, Todorcevic, Stevo (Eds.)

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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.

Table of contents (15 chapters)

Table of contents (15 chapters)
  • An Ω-logic Primer

    Pages 1-28

    Bagaria, Joan (et al.)

  • Upper Semi-lattice Algebras and Combinatorics

    Pages 29-54

    Bekkali, M. (et al.)

  • Small Definably-large Cardinals

    Pages 55-82

    Bosch, Roger

  • Real-valued Measurable Cardinals and Well-orderings of the Reals

    Pages 83-120

    Caicedo, Andrés Eduardo

  • Complexity of Sets and Binary Relations in Continuum Theory: A Survey

    Pages 121-147

    Marcone, Alberto

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-3-7643-7692-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA in USD
  • ISBN 978-3-7643-7691-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

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
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7692-5
DOI
10.1007/3-7643-7692-9
Hardcover ISBN
978-3-7643-7691-8
Series ISSN
2297-0215
Edition Number
1
Number of Pages
VII, 406
Topics

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