**DIMACS - Series in Discrete Mathematics and Theoretical Computer Science**

Volume: 58;
2002;
160 pp;
Hardcover

MSC: Primary 03;
Secondary 37; 54

**Print ISBN: 978-0-8218-2786-4
Product Code: DIMACS/58**

List Price: $77.00

AMS Member Price: $61.60

MAA Member Price: $69.30

**Electronic ISBN: 978-1-4704-4016-9
Product Code: DIMACS/58.E**

List Price: $72.00

AMS Member Price: $57.60

MAA Member Price: $64.80

# Set Theory: The Hajnal Conference

Share this page *Edited by *
*Simon Thomas*

A co-publication of the AMS and DIMACS

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

## Set Theory: The Hajnal Conference

- Cover Cover11
- Title page v6
- Contents vii8
- Foreword ix10
- Preface xi12
- Containment does not imply Borel reducibility 114
- Hajnal’s contributions to combinatorial set theory and the partition calculus 2538
- Multicolored graphs on countable ordinals of finite exponent 3144
- On 𝐷-spaces and discrete families of sets 4558
- Analytic Hausdorff gaps 6578
- Stationary sets, Chang’s conjecture and partition theory 7386
- A consistent example of a hereditarily 𝔠-Lindelöf first countable space of size >𝔠 95108
- Subgraph chromatic number 99112
- Superatomic Boolean algebras: Maximal rigidity 107120
- Some applications of superrigidity to Borel equivalence relations 129142
- Localized reflection and fragments of PFA 135148
- The basis problem for CCC posets 149162
- Back Cover Back Cover1175