Skip to main content

Bifibration induced adjoint pairs

  • Conference paper
  • First Online:
Reports of the Midwest Category Seminar V

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 195))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
eBook
USD 34.99
Price excludes VAT (USA)
Softcover Book
USD 46.00
Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Gabriel, P., and Zisman, M., Calculus of fractions and Homotopy Theory. Springer-Verlag, Berlin-Heidelberg-New York 1961.

    MATH  Google Scholar 

  2. Gray, J.W., Fibred and cofibred categories. Proceedings of the Conference on Categorical Algebra-La Jolla 1965, pp. 21–83. Springer-Verlag, Berlin-Heidelberg-New York 1966.

    MATH  Google Scholar 

  3. Gray, J.W., The Categorical Comprehension Scheme. Category Theory, Homology Theory and their Applications III. Lecture Notes 99, pp.242–312. Springer-Verlag, Berlin-Heidelberg-New York 1969.

    Chapter  Google Scholar 

  4. Gray, J.W., The 2-Adjointness of the Fibred Category Construction. MS. 1969.

    Google Scholar 

  5. Grothendieck, A., Catégories fibrées et descente. Séminaire de géométrie algébrique de l'Institut des Hautes Etudes Scientifiques, Paris 1961.

    Google Scholar 

  6. Kan, D.M., Adjoint Functors. Trans. Amer. Math. Soc. 87, pp. 295–329 (1958).

    MathSciNet  MATH  Google Scholar 

  7. Lawvere, F.W., Functorial Semantics of Algebraic Theories. Thesis. Columbia University. New York 1963.

    MATH  Google Scholar 

  8. Lawvere, F.W., The Category of Categories as a Foundation for Mathematics. Proceedings of the Conference on Categorical Algebra-La Jolla 1965, pp. 1–20. Springer-Verlag. Berlin-Heidelberg-New York 1966.

    MATH  Google Scholar 

  9. Lawvere, F.W., Adjointness in Foundations. (to appear in Dialectica).

    Google Scholar 

  10. Lawvere, F.W., Equality in Hyperdoctrines and Comprehension Schema as an Adjoint Functor, in "Proceedings of Symposia in Pure Mathematics" volume 17, Applications of categorical algebra, AMS (1970).

    Google Scholar 

  11. Tierney, M., Lecture McGill University, February 25, 1970.

    Google Scholar 

  12. Ulmer, F., Properties of Dense and Relative Adjoint Functors. Journal of Algebra 8, pp. 77–95 (1968).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

J. W. Gray

Rights and permissions

Reprints and permissions

Copyright information

© 1971 Springer-Verlag

About this paper

Cite this paper

Bunge, M.C. (1971). Bifibration induced adjoint pairs. In: Gray, J.W. (eds) Reports of the Midwest Category Seminar V. Lecture Notes in Mathematics, vol 195. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072308

Download citation

  • DOI: https://doi.org/10.1007/BFb0072308

  • Received:

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05442-9

  • Online ISBN: 978-3-540-36548-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics