Handbook of Set-Theoretic Topology
eBook - PDF

Handbook of Set-Theoretic Topology

  1. 1,282 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Handbook of Set-Theoretic Topology

About this book

This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest.In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhász on cardinal functions; Roitman and Abraham-Todor?evi? on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties.

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Yes, you can access Handbook of Set-Theoretic Topology by K. Kunen,J. Vaughan in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2014
Print ISBN
9780444865809
eBook ISBN
9781483295152
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Front Cover
  2. Handbook of Set-Theoretic Topology
  3. Copyright Page
  4. Foreword
  5. Table of Contents
  6. CHAPTER 1. Cardinal Functions I
  7. Chapter 2. Cardinal functions II
  8. Chapter 3. The integers and topology
  9. Chapter 4. Box products
  10. Chapter 5. Special subsets of the real line
  11. Chapter 6. Trees and linearly ordered sets,
  12. Chapter 7. Basic S and L
  13. Chapter 8. Martin's Axiom and first-countable S- and L-spaces
  14. Chapter 9. Covering properties
  15. Chapter 9. With countably compact or pseudocompact
  16. Chapter 10. Generalized metric spaces
  17. Chapter 11. An introduction to βw
  18. Chapter 12. Countably compact and sequentially compact spaces
  19. Chapter 13. Initially k-compact and related spaces
  20. Chapter 14. The theory of nonmetrizable manifolds
  21. Chapter 15. Normality versus collectionwise normality
  22. Chapter 16. The normal Moore space conjecture and large cardinals
  23. Chapter 17. Dowker spaces
  24. Chapter 18. Products of normal spaces,
  25. Chapter 19. Versions of Martin's Axiom
  26. Chapter 20. Random and Cohen reals
  27. Chapter 21. Applications of the Proper Forcing Axiom
  28. Chapter 22. Borel measures,
  29. Chapter 23. Banach spaces and topology
  30. Chapter 24. Topological groups
  31. Index