Skip to main content
SpringerLink
Log in
SpringerLink
Log in

Strong stacks and classifying spaces

  • Part I
  • Conference paper
  • First Online:
Category Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1488))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Barr, Toposes without points, J. Pure App. Alg. 5, 1974, pp 265–280.

    Article  MathSciNet  MATH  Google Scholar 

  2. M. Bunge, Stack completions and Morita equivalence for categories in a topos, Cahiers Top. Geom. Diff. xx-4, 1979, pp 401–435.

    MathSciNet  MATH  Google Scholar 

  3. M. Bunge and R. Pare, Stacks and equivalence of indexed categories, Cahiers Top. Geom. Diff. xx-4, 1979, pp 373–399.

    MathSciNet  MATH  Google Scholar 

  4. J. Giraud, Cohomologie non abélienne, Grundlehren #179, Springer Verlag, 1971.

    Google Scholar 

  5. P. T. Johnstone, Topos Theory, L.M.S. Monographs #10, Academic Press, London, 1977.

    MATH  Google Scholar 

  6. A. Joyal, Homotopy theory of simplicial sheaves, to appear.

    Google Scholar 

  7. A. Joyal and M. Tierney, An extension of the galois theory of Grothendieck, Memoirs of the AMS vol. 51 No. 309, 1984

    Google Scholar 

  8. _____, Classifying spaces for sheaves of simplicial groupoids, JPAA, to appear.

    Google Scholar 

  9. J. P. May, Simplicial Objects in Algebraic Topology, Van Nostrand Math.Studies #11, 1967.

    Google Scholar 

  10. D. G. Quillen, Homotopical Algebra, Springer Lecture Notes in Mathematics #43, 1967.

    Google Scholar 

  11. _____, Rational homotopy theory, Annals of Math.90, 1969, pp205–295.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de mathématiques, UQAM, Succ ‘A’, C.P. 8888, H3C 3P8, Montréal, Canada

    André Joyal

  2. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ

    Myles Tierney

Authors
  1. André Joyal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Myles Tierney
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Aurelio Carboni Maria Cristina Pedicchio Guiseppe Rosolini

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

Joyal, A., Tierney, M. (1991). Strong stacks and classifying spaces. In: Carboni, A., Pedicchio, M.C., Rosolini, G. (eds) Category Theory. Lecture Notes in Mathematics, vol 1488. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084222

Download citation

  • DOI: https://doi.org/10.1007/BFb0084222

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54706-8

  • Online ISBN: 978-3-540-46435-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation