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Set Theory: The Hajnal Conference
Edited by: Simon Thomas, Rutgers University, New Brunswick, NJ
A co-publication of the AMS and DIMACS.
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DIMACS: Series in Discrete Mathematics and Theoretical Computer Science
2002; 160 pp; hardcover
Volume: 58
ISBN-10: 0-8218-2786-3
ISBN-13: 978-0-8218-2786-4
List Price: US$68
Member Price: US$54.40
Order Code: DIMACS/58
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This volume presents the proceedings from the Mid-Atlantic Mathematical Logic Seminar (MAMLS) conference held in honor of András Hajnal at the DIMACS Center, Rutgers University (New Brunswick, NJ). Articles include both surveys and high-level research papers written by internationally recognized experts in the field of set theory.

Many of the current active areas of set theory are represented in this volume. It includes research papers on combinatorial set theory, set theoretic topology, descriptive set theory, and set theoretic algebra. There are valuable surveys on combinatorial set theory, fragments of the proper forcing axiom, and the reflection properties of stationary sets. The book also includes an exposition of the ergodic theory of lattices in higher rank semisimple Lie groups--essential reading for anyone who wishes to understand much of the recent work on countable Borel equivalence relations.

Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1-7 were co-published with the Association for Computer Machinery (ACM).

Readership

Graduate students and research mathematicians interested in set theory and set theoretic topology.

Table of Contents

  • S. Adams -- Containment does not imply Borel reducibility
  • J. E. Baumgartner -- Hajnal's contributions to combinatorial set theory and the partition calculus
  • C. Darby and J. A. Larson -- Multicolored graphs on countable ordinals of finite exponent
  • M. Džamonja -- On \(D\)-spaces and discrete families of sets
  • I. Farah -- Analytic Hausdorff gaps
  • M. D. Foreman -- Stationary sets, Chang's conjecture and partition theory
  • I. Juhász, L. Soukup, and Z. Szentmiklóssy -- A consistent example of a hereditarily \(\mathfrak{c}\)-Lindelöf first countable space of size \(>\mathfrak{c}\)
  • P. Komjáth -- Subgraph chromatic number
  • S. Shelah -- Superatomic Boolean algebras: Maximal rigidity
  • S. Thomas -- Some applications of superrigidity to Borel equivalence relations
  • S. Todorčević -- Localized reflection and fragments of PFA
  • B. Velickovic -- The basis problem for CCC posets
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