Skip to main content

Sheaf representations and the dedekind reals

Part of the Lecture Notes in Mathematics book series (LNM,volume 753)

Keywords

  • Prime Ideal
  • Global Section
  • Subdirect Product
  • Heyting Algebra
  • Sheaf Representation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Birkhoff, G., Pierce, R.S.: Lattice ordered rings. An. Acad. Brasil Ci., 28, 41–69 (1956)

    MathSciNet  MATH  Google Scholar 

  2. Brezuleanu, A., Diaconescu, R.: Sur la duale de la catégorie des treillis. Rev. Roumaine Math. Pures Appl., 14, 311–323 (1969)

    MathSciNet  MATH  Google Scholar 

  3. Henriksen, M., Johnson, D.G.: On the structure of a class of Archimedean lattice-ordered algebras. Fund. Math., 50, 73–94 (1961)

    MathSciNet  MATH  Google Scholar 

  4. Henriksen, M., Isbell, J.R., Johnson, D.G.: Residue class fields of lattice ordered algebras. Fund. Math., 50, 107–117 (1961)

    MathSciNet  MATH  Google Scholar 

  5. Hofmann, K.H., Keimel, K.: A General Character Theory for Partially Ordered Sets and Lattices. Mem. Amer. Math. Soc., 122 (1972)

    Google Scholar 

  6. Isbell, J.R.: Atomless parts of spaces. Math. Scand., 31, 5–32 (1972)

    MathSciNet  MATH  Google Scholar 

  7. Johnstone, P.T.: Topos Theory. Academic Press 1977

    Google Scholar 

  8. Kennison, J.F.: Integral domains type representations in sheaves and other topoi. Math. Zeit., 151, 35–56 (1976)

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Ledbetter, C.S.: Sheaf representations and first order conditions. Clark University, Worcester, Mass., U.S.A. 1977. Ph. D. Thesis.

    Google Scholar 

  10. Reynolds, G.: Notes on real representable rings. Miemographed Notes, 1977

    Google Scholar 

  11. Smith, J.: Mal'cev Varieties. Lecture Notes in Mathematics, 554. Berlin and New York: Springer 1976

    CrossRef  MATH  Google Scholar 

  12. Stone, M.H.: Topological representations of distributive lattices and Brouwerian logics. Cas. Mat. Fys., 67, 1–25 (1937)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1979 Springer-Verlag

About this chapter

Cite this chapter

Kennison, J.F., Ledbetter, C.S. (1979). Sheaf representations and the dedekind reals. In: Fourman, M., Mulvey, C., Scott, D. (eds) Applications of Sheaves. Lecture Notes in Mathematics, vol 753. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061831

Download citation

  • DOI: https://doi.org/10.1007/BFb0061831

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09564-4

  • Online ISBN: 978-3-540-34849-8

  • eBook Packages: Springer Book Archive