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Set Theory and Its Applications
 
Edited by: L. Babinkostova Boise State University, Boise, ID
A. E. Caicedo Boise State University, Boise, ID
S. Geschke University of Bonn, Bonn, Germany
M. Scheepers Boise State University, Boise, ID
Set Theory and Its Applications
eBook ISBN:  978-0-8218-8212-2
Product Code:  CONM/533.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Set Theory and Its Applications
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Set Theory and Its Applications
Edited by: L. Babinkostova Boise State University, Boise, ID
A. E. Caicedo Boise State University, Boise, ID
S. Geschke University of Bonn, Bonn, Germany
M. Scheepers Boise State University, Boise, ID
eBook ISBN:  978-0-8218-8212-2
Product Code:  CONM/533.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5332011; 307 pp
    MSC: Primary 03; 46; 54; 91

    This book consists of several survey and research papers covering a wide range of topics in active areas of set theory and set theoretic topology. Some of the articles present, for the first time in print, knowledge that has been around for several years and known intimately to only a few experts. The surveys bring the reader up to date on the latest information in several areas that have been surveyed a decade or more ago. Topics covered in the volume include combinatorial and descriptive set theory, determinacy, iterated forcing, Ramsey theory, selection principles, set-theoretic topology, and universality, among others. Graduate students and researchers in logic, especially set theory, descriptive set theory, and set-theoretic topology, will find this book to be a very valuable reference.

    Readership

    Graduate students and research mathematicians interested in set theory and its modern applications.

  • Table of Contents
     
     
    • Articles
    • Mirna Džamonja — Some positive results in the context of universal models [ MR 2777742 ]
    • Gary Gruenhage — A survey of $D$-spaces [ MR 2777743 ]
    • Michael Hrušák — Combinatorics of filters and ideals [ MR 2777744 ]
    • Richard Ketchersid — More structural consequences of ${\rm AD}$ [ MR 2777745 ]
    • Ljubiša D. R. Kočinac — $\alpha _i$-selection principles and games [ MR 2777746 ]
    • Assaf Rinot — Jensen’s diamond principle and its relative [ MR 2777747 ]
    • Judith Roitman — Paracompactness and normality in box products: old and new [ MR 2777748 ]
    • Franklin D. Tall — Some problems and techniques in set-theoretic topology [ MR 2777749 ]
    • Boaz Tsaban — Menger’s and Hurewicz’s problems: solutions from “the book” and refinements [ MR 2777750 ]
    • Andrés Eduardo Caicedo and Richard Ketchersid — A trichotomy theorem in natural models of ${\rm AD}^+$ [ MR 2777751 ]
    • Stefan Geschke — The coinitialities of Efimov spaces [ MR 2777752 ]
    • Esther Gruenhut and Saharon Shelah — Uniforming $n$-place functions on well founded trees [ MR 2777753 ]
    • Benjamin D. Miller — A classical proof of the Kanovei-Zapletal canonization [ MR 2777754 ]
    • Andrzej Rosłanowski and Saharon Shelah — Lords of the iteration [ MR 2777755 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5332011; 307 pp
MSC: Primary 03; 46; 54; 91

This book consists of several survey and research papers covering a wide range of topics in active areas of set theory and set theoretic topology. Some of the articles present, for the first time in print, knowledge that has been around for several years and known intimately to only a few experts. The surveys bring the reader up to date on the latest information in several areas that have been surveyed a decade or more ago. Topics covered in the volume include combinatorial and descriptive set theory, determinacy, iterated forcing, Ramsey theory, selection principles, set-theoretic topology, and universality, among others. Graduate students and researchers in logic, especially set theory, descriptive set theory, and set-theoretic topology, will find this book to be a very valuable reference.

Readership

Graduate students and research mathematicians interested in set theory and its modern applications.

  • Articles
  • Mirna Džamonja — Some positive results in the context of universal models [ MR 2777742 ]
  • Gary Gruenhage — A survey of $D$-spaces [ MR 2777743 ]
  • Michael Hrušák — Combinatorics of filters and ideals [ MR 2777744 ]
  • Richard Ketchersid — More structural consequences of ${\rm AD}$ [ MR 2777745 ]
  • Ljubiša D. R. Kočinac — $\alpha _i$-selection principles and games [ MR 2777746 ]
  • Assaf Rinot — Jensen’s diamond principle and its relative [ MR 2777747 ]
  • Judith Roitman — Paracompactness and normality in box products: old and new [ MR 2777748 ]
  • Franklin D. Tall — Some problems and techniques in set-theoretic topology [ MR 2777749 ]
  • Boaz Tsaban — Menger’s and Hurewicz’s problems: solutions from “the book” and refinements [ MR 2777750 ]
  • Andrés Eduardo Caicedo and Richard Ketchersid — A trichotomy theorem in natural models of ${\rm AD}^+$ [ MR 2777751 ]
  • Stefan Geschke — The coinitialities of Efimov spaces [ MR 2777752 ]
  • Esther Gruenhut and Saharon Shelah — Uniforming $n$-place functions on well founded trees [ MR 2777753 ]
  • Benjamin D. Miller — A classical proof of the Kanovei-Zapletal canonization [ MR 2777754 ]
  • Andrzej Rosłanowski and Saharon Shelah — Lords of the iteration [ MR 2777755 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.