The Structure of the Real Line

The rapid development of set theory in the last fifty years, mainly in obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set th...

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Bibliographic Details
Main Author: Bukovský, Lev
Format: eBook
Language:English
Published: Basel Birkhäuser 2011, 2011
Edition:1st ed. 2011
Series:Monografie Matematyczne
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • 1 Introduction
  • 2 The Real Line
  • 3 Topology of Euclidean Spaces
  • 4 Measure Theory
  • 5 Useful Tools and Technologies
  • 6 Descriptive Set Theory
  • 7 Decline and Fall of the Duality
  • 8 Special Sets of Reals
  • 9 Additional Axioms
  • 10 Undecidable Statements
  • 11 Appendix
  • Bibliography
  • Index of Notation
  • Index