Skip to main content

Lectures on generalised cohomology

  • Conference paper
  • First Online:
Category Theory, Homology Theory and Their Applications III

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 99))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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. Adams, J. F., “Une Relation entre Groupes d'Homotopie et Groups de Cohomologie”, Comptes Rendues de l'Acad. des Sci., Paris, 245, 24–26 (1957).

    MATH  Google Scholar 

  2. -, “On the Structure and Applications of the Steenrod Algebra”, Comm. Math. Helv., 32; 180–214 (1958).

    Article  MathSciNet  MATH  Google Scholar 

  3. -, “Vector Fields on Spheres”, Bull. Amer. Math. Soc., 68; 39–41 (1962).

    Article  MathSciNet  MATH  Google Scholar 

  4. -, “Vector Fields on Spheres”, Annals of Math., 75, 603–632 (1962).

    Article  MathSciNet  MATH  Google Scholar 

  5. Anderson, D. W., and Hodgkin, L., “The K-theory of Eilenberg-MacLane Complexes”, (preprint, to appear).

    Google Scholar 

  6. Atiyah, M. F., “Vector Bundles and the Künneth Formula”, Topology, 1; 245–248 (1962).

    Article  MathSciNet  MATH  Google Scholar 

  7. Boardman, J. M., Thesis, Cambridge, 1964.

    Google Scholar 

  8. Boardman, J. M., “Stable Homotopy Theory”, mimeographed notes, University of Warwick, 1965 onward.

    Google Scholar 

  9. Bourbaki, N., “Algebre Commutative”, Chapters 1 and 2 of Éléments de Mathématique, 27, Hermann, (1961). (Act. Sci. et Ind. 1290)

    Google Scholar 

  10. Brown, E. H., and Peterson, F. P., “A Spectrum Whose Zp Cohomology is the Algebra of Reduced pth Powers”, Topology, 5; 149–154 (1966).

    Article  MathSciNet  MATH  Google Scholar 

  11. Cartan, H., and Eilenberg, S., Homological Algebra, Princeton University Press (Princeton Mathematical Series, no. 19) (1956).

    Google Scholar 

  12. Cohen, J. M., “Coherent Graded Rings”, (preprint, to appear).

    Google Scholar 

  13. Cohen, J. M., “The Non-existence of Spaces of Finite Stable Homotopy Type”, (preprint, to appear).

    Google Scholar 

  14. Conner, P. E., and Floyd, E. E., The Relation of Cobordism to K-theories, (Lecture Notes in Mathematics, no. 28) Springer, (1966).

    Google Scholar 

  15. Douady, A., Seminaire H. Cartan 11 (1958/59), exposés 18, 19.

    Google Scholar 

  16. Hattori, A., “Integral Characteristic Numbers for Weakly Almost Complex Manifolds”, Topology, 5; 259–280 (1966).

    Article  MathSciNet  MATH  Google Scholar 

  17. Hodgkin, L., “K-theory of Eilenberg-MacLane Complexes I, II”, (preprints).

    Google Scholar 

  18. MacLane, S., Homology, (Grundlehren der Math. #114) Springer, (1963).

    Google Scholar 

  19. Milnor, J., “The Steenrod Algebra and Its Dual”, Annals of Math, 67; 150–171 (1958).

    Article  MathSciNet  MATH  Google Scholar 

  20. -, “On the Cobordism Ring Ω* and a Complex Analogue”, Amer. Jour. Math., 82; 505–521 (1960).

    Article  MathSciNet  MATH  Google Scholar 

  21. -, “On Axiomatic Homology Theory”, Pacific Jour. Math., 12; 337–341 (1962).

    Article  MathSciNet  MATH  Google Scholar 

  22. -, and Moore, J. C., “On the structure of Hopf Algebras”, Annals of Math., 81; 211–264 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  23. Novikov, S. P., “Rings of Operations and Spectral Sequences”, Doklady Akademii Nauk S.S.S.R., 172; 33–36 (1967).

    Google Scholar 

  24. -, Izvestija Akademii Nauk S.S.S.R., Serija Matematiceskaja, 31; 855–951 (1967).

    Google Scholar 

  25. Puppe, D., “Stabile Homotopietheorie I”, Math. Annalen, 169, 243–274 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  26. Serre, J.-P., “Cohomologie Modulo 2 des Complexes d'Eilenberg-MacLane”, Comm. Math. Helv., 27; 198–232 (1953).

    Article  MathSciNet  MATH  Google Scholar 

  27. -, “Groupes d'Homotopie et Classes de Groupes Abéliens”, Annals of Math., 58; 258–294 (1953).

    Article  MATH  Google Scholar 

  28. Stasheff, J. D., “Homotopy Associativity of H-spaces I”, Trans. Amer. Math. Soc., 108, 275–292 (1963).

    Article  MathSciNet  MATH  Google Scholar 

  29. Stong, R. E., “Relations Among Characteristic Numbers I”, Topology, 4; 267–281 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  30. Thom, R., “Travaux de Milnor sur le Cobordisme”, Séminaire Bourbaki, 11, no. 180 (1958/59).

    Google Scholar 

    Google Scholar 

  31. Whitehead, G. W., “Generalized Homology Theories”, Trans. Amer. Math. Soc., 102; 227–283 (1962).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Peter J. Hilton

Rights and permissions

Reprints and permissions

Copyright information

© 1969 Spinger-Verlag

About this paper

Cite this paper

Adams, J.F. (1969). Lectures on generalised cohomology. In: Hilton, P.J. (eds) Category Theory, Homology Theory and Their Applications III. Lecture Notes in Mathematics, vol 99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081960

Download citation

  • DOI: https://doi.org/10.1007/BFb0081960

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04618-9

  • Online ISBN: 978-3-540-36140-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics