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  • Book
  • © 1975

Forcing, Arithmetic, Division Rings

Part of the book series: Lecture Notes in Mathematics (LNM, volume 454)

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-VII
  2. Introduction

    • Joram Hirschfeld, William H. Wheeler
    Pages 1-10
  3. Existentially complete structures and existentially universal structures

    • Joram Hirschfeld, William H. Wheeler
    Pages 15-43
  4. Model-completions and model-companions

    • Joram Hirschfeld, William H. Wheeler
    Pages 44-54
  5. Infinite forcing in model theory

    • Joram Hirschfeld, William H. Wheeler
    Pages 55-75
  6. Approximating chains for

    • Joram Hirschfeld, William H. Wheeler
    Pages 76-85
  7. Finite forcing in model theory

    • Joram Hirschfeld, William H. Wheeler
    Pages 86-110
  8. Axiomatizations

    • Joram Hirschfeld, William H. Wheeler
    Pages 111-116
  9. Forcing and recursion theory

    • Joram Hirschfeld, William H. Wheeler
    Pages 117-136
  10. Existentially complete models

    • Joram Hirschfeld, William H. Wheeler
    Pages 141-154
  11. Simple models and R.E. ultrapowers

    • Joram Hirschfeld, William H. Wheeler
    Pages 155-159
  12. Regular models

    • Joram Hirschfeld, William H. Wheeler
    Pages 160-167
  13. Regular models and second order models for arithmetic

    • Joram Hirschfeld, William H. Wheeler
    Pages 168-178
  14. Generic models and the analytic hierarchy

    • Joram Hirschfeld, William H. Wheeler
    Pages 179-186
  15. Applications to complete extensions of peano's arithmetic

    • Joram Hirschfeld, William H. Wheeler
    Pages 187-189
  16. Existentially complete division rings

    • Joram Hirschfeld, William H. Wheeler
    Pages 198-222
  17. Nullstellensatz

    • Joram Hirschfeld, William H. Wheeler
    Pages 223-231
  18. Classes of existentially complete division algebras

    • Joram Hirschfeld, William H. Wheeler
    Pages 232-252
  19. Back Matter

    Pages 253-266

Keywords

  • Arithmetic
  • Arithmetik
  • Finite
  • Forcing (Math.)
  • Modell (Math.)
  • Schiefkörper
  • algebra
  • recursion

Bibliographic Information

  • Book Title: Forcing, Arithmetic, Division Rings

  • Authors: Joram Hirschfeld, William H. Wheeler

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0064082

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1975

  • Softcover ISBN: 978-3-540-07157-0Published: 06 June 1975

  • eBook ISBN: 978-3-540-37485-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VII, 266

  • Topics: Mathematics

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions