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Topics in Set Theory

Lebesgue Measurability, Large Cardinals, Forcing Axioms, Rho-functions

  • Book
  • © 1991

Overview

Authors:
  1. Mohamed Bekkali
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1476)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-VII
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  2. Nonmeasurable sets of reals

    • Mohamed Bekkali
    Pages 1-13

  3. Measurability in L[ℝ]

    • Mohamed Bekkali
    Pages 15-22

  4. Forcing axioms

    • Mohamed Bekkali
    Pages 23-60

  5. The method of minimal walks

    • Mohamed Bekkali
    Pages 61-104

  6. Appendix

    • Mohamed Bekkali
    Pages 105-114

  7. Back Matter

    Pages 115-120
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Keywords

About this book

During the Fall Semester of 1987, Stevo Todorcevic gave a series of lectures at the University of Colorado. These notes of the course, taken by the author, give a novel and fast exposition of four chapters of Set Theory. The first two chapters are about the connection between large cardinals and Lebesque measure. The third is on forcing axioms such as Martin's axiom or the Proper Forcing Axiom. The fourth chapter looks at the method of minimal walks and p-functions and their applications. The book is addressed to researchers and graduate students interested in Set Theory, Set-Theoretic Topology and Measure Theory.

Bibliographic Information

  • Book Title: Topics in Set Theory

  • Book Subtitle: Lebesgue Measurability, Large Cardinals, Forcing Axioms, Rho-functions

  • Authors: Mohamed Bekkali

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0098398

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1991

  • Softcover ISBN: 978-3-540-54121-9Published: 10 July 1991

  • eBook ISBN: 978-3-540-47422-7Published: 08 December 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 128

  • Topics: Mathematical Logic and Foundations

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