Hardcover ISBN:  9780821827864 
Product Code:  DIMACS/58 
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AMS Member Price:  $61.60 
Electronic ISBN:  9781470440169 
Product Code:  DIMACS/58.E 
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AMS Member Price:  $57.60 

Book DetailsDIMACS  Series in Discrete Mathematics and Theoretical Computer ScienceVolume: 58; 2002; 160 ppMSC: Primary 03; Secondary 37; 54;
This volume presents the proceedings from the MidAtlantic 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 highlevel 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.ReadershipGraduate students and research mathematicians interested in set theory and set theoretic topology.

Table of Contents

Chapters

Containment does not imply Borel reducibility

Hajnal’s contributions to combinatorial set theory and the partition calculus

Multicolored graphs on countable ordinals of finite exponent

On $D$spaces and discrete families of sets

Analytic Hausdorff gaps

Stationary sets, Chang’s conjecture and partition theory

A consistent example of a hereditarily $\mathfrak {c}$Lindelöf first countable space of size $>\mathfrak {c}$

Subgraph chromatic number

Superatomic Boolean algebras: Maximal rigidity

Some applications of superrigidity to Borel equivalence relations

Localized reflection and fragments of PFA

The basis problem for CCC posets


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This volume presents the proceedings from the MidAtlantic 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 highlevel 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.
Graduate students and research mathematicians interested in set theory and set theoretic topology.

Chapters

Containment does not imply Borel reducibility

Hajnal’s contributions to combinatorial set theory and the partition calculus

Multicolored graphs on countable ordinals of finite exponent

On $D$spaces and discrete families of sets

Analytic Hausdorff gaps

Stationary sets, Chang’s conjecture and partition theory

A consistent example of a hereditarily $\mathfrak {c}$Lindelöf first countable space of size $>\mathfrak {c}$

Subgraph chromatic number

Superatomic Boolean algebras: Maximal rigidity

Some applications of superrigidity to Borel equivalence relations

Localized reflection and fragments of PFA

The basis problem for CCC posets