Skip to main content
SpringerLink
Log in

Enriched algebras, spectra and homotopy limits

  • Conference paper
  • First Online:
Category Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 962))

  • 797 Accesses

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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.

Bibliography

  1. M. Barr, Coequalizers and free triples, Math. Z. 116(1970), 307–322.

    Article  MathSciNet  MATH  Google Scholar 

  2. A. K. Bousfield and D. M. Kan, Homotopy limits, Completions and Localizations, Lecture Notes in Mathematics 304, Springer-Verlag, New York, 1972.

    Book  MATH  Google Scholar 

  3. G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove and D. S. Scott, A Compendium of Continuous Lattices, Springer-Verlag, New York, 1980.

    Book  MATH  Google Scholar 

  4. J. W. Gray, Formal Category Theory: Adjointness for 2-categories, Lecture Notes in Mathematics 391, Springer-Verlag, New York, 1974.

    Book  MATH  Google Scholar 

  5. J. W. Gray, Closed categories, lax limits, and homotopy limits, J. Pure and Applied Alg. 19(1980), 127–158.

    Article  MathSciNet  MATH  Google Scholar 

  6. J. W. Gray, The existence and construction of lax limits, Cahiers de Top. et Géom. Diff. 21(1980), 277–304.

    MathSciNet  MATH  Google Scholar 

  7. J. W. Gray, Two results on homotopy limits, (to appear).

    Google Scholar 

  8. G. M. Kelly, The Basic Concepts of Enriched Category Theory, (to appear).

    Google Scholar 

  9. J. Lambek and B. A. Rattray, Localization and sheaf reflectors, Trans. Am. Math. Soc. 210(1975), 279–293.

    Article  MathSciNet  MATH  Google Scholar 

  10. E. Manes, Algebraic Theories, Graduate Texts in Mathematics, Springer-Verlag, 1976.

    Google Scholar 

  11. J. P. May, Infinite loop space theory, Bull. Am. Math. Soc. 83(1977), 456–494.

    Article  MathSciNet  MATH  Google Scholar 

  12. D. Scott, The lattice of flow diagrams, Symposium on Semantics of Algorithmic Languages, E. Engeler, ed., Lecture Notes in Mathematics 188, Springer-Verlag, New York (1971), 311–366.

    Chapter  Google Scholar 

  13. D. S. Scott, Continuous lattices, in Toposes, Algebraic Geometry and Logic, Lecture Notes in Mathematics 274, Springer-Verlag, New York, 1972, 97–136.

    Chapter  Google Scholar 

  14. M. B. Smyth and G. D. Plotkin, The category-theoretic solution of recursive domain equations, D. A. I. Research Report No. 60, Edinburgh, 1978.

    Google Scholar 

  15. R. W. Thomason, Homotopy colimits in the category of small categories, Math. Proc. Camb. Phil. Soc. 85(1979), 91–109.

    Article  MathSciNet  MATH  Google Scholar 

  16. R. W. Thomason, Algebraic K-theory and etale cohomology, Preprint 1980.

    Google Scholar 

  17. H. Wolff, Free monads and the orthogonal subcategory problem, J. Pure and Applied Alg. 13(1978), 233–242.

    Article  MathSciNet  MATH  Google Scholar 

  18. M. Tierney, Categorical Constructions in Stable Homotopy Theory. A seminar given at the ETH. Zürich, in 1967. Lecture Notes in Mathematics 87, Springer-Verlag, New York, 1969.

    MATH  Google Scholar 

  19. G. M. Kelly, Adjunction for enriched categories, Reports of the Midwest Category Seminar III, Lecture Notes in Mathematics 106, Springer-Verlag, New York, 1969, 166–177.

    Book  Google Scholar 

  20. L. G. Lewis, The stable category and generalized Thom spectra, Dissertation, University of Chicago, 1978.

    Google Scholar 

  21. R. Street, Fibrations in bicategories, Cahiers de Top. et Géom. Diff. 21 (1980), 111–160.

    MathSciNet  MATH  Google Scholar 

Download references

Authors
  1. John W. Gray
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Klaus Heiner Kamps Dieter Pumplün Walter Tholen

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Gray, J.W. (1982). Enriched algebras, spectra and homotopy limits. In: Kamps, K.H., Pumplün, D., Tholen, W. (eds) Category Theory. Lecture Notes in Mathematics, vol 962. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066888

Download citation

  • DOI: https://doi.org/10.1007/BFb0066888

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11961-6

  • Online ISBN: 978-3-540-39550-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation