Set Theory: The Hajnal Conference (Series in Discrete Mathematics & Theoretical Computer Science)

Set Theory: The Hajnal Conference (Series in Discrete Mathematics & Theoretical Computer Science)

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Description

This volume presents the proceedings from the Mid-Atlantic Mathematical Logic Seminar (MAMLS) conference held in honor of Andras 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.

Contents

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

Product Details

  • ISBN13: 9780821827864
  • Format: Hardback
  • Number Of Pages: 162
  • ID: 9780821827864
  • ISBN10: 0821827863

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