Skip to main content
SpringerLink
Log in

Cohomology theories and infiniteCW-complexes

  • Published:
Commentarii Mathematici Helvetici

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Adams J. F.,A variant of E. H. Brown's representability theorem, Topology10 (1971), 185–198.

    Article  MathSciNet  Google Scholar 

  2. Adams J. F.,Stable homotopy and generalised homology, The University of Chicago Press, 1974.

  3. Anderson D. W.,Universal Coefficient Theorems for K-Theory (preprint).

  4. Araki S. andToda H.,Multiplicative structures in modq cohomology theories I, Osaka J. Math.2 (1965), 71–115.

    MathSciNet  Google Scholar 

  5. Araki S. andYosimura Z.,A spectral sequence associated with a cohomology theory of infinite CW-complexes. Osaka J. Math.9 (1972), 351–365.

    MathSciNet  Google Scholar 

  6. Bieri R. andEckmann B.,Finiteness properties of duality groups, Comment. Math. Helv.49 (1974), 74–83.

    MathSciNet  Google Scholar 

  7. Bousfield A. K. andKan D. M.,Homotopy Limits, Completions and Localizations, Lecture Notes in Math.304, Springer 1972.

  8. Eilenberg S. andSteenrod N. E.,Foundations of Algebraic Topology, Princeton University Press, Princeton 1952.

    MATH  Google Scholar 

  9. Fuchs L.,Infinite Abelian Groups I, Academic Press 1970.

  10. Hilton P. J.,Putting coefficients into a cohomology theory I, Proc. Koninkl. Ned. Akad. van Wetenschappen, Series A,73 (1970), 196–216.

    Google Scholar 

  11. Hilton P. J. andDeleanu A.,On the Splitting of Universal Coefficient Sequences, Proc. Adv. Study Inst. on Alg. Top. vol. I, Aarhus 1970, 180–201.

    MathSciNet  Google Scholar 

  12. Jensen C. U.,Les Foncteurs Dérivés de \(\underleftarrow {\lim }\) et leurs Applications en Théorie des Modules, Lecture Notes in Math.254, Springer 1972.

  13. Kainen, P. C.,Universal coefficient theorems for generalized homology and stable cohomotopy, Pacific J. Math.37 (1971), 397–407.

    MathSciNet  Google Scholar 

  14. Mislin G.,The Splitting of the Künneth Sequence for Generalized Cohomology, Math. Z.122 (1971), 237–245.

    Article  MathSciNet  Google Scholar 

  15. Nöbeling G.,Ueber die Derivierten des inversen und des direkten Limes einer Modulfamilie, Topology1 (1962), 47–63.

    Article  MathSciNet  Google Scholar 

  16. Sullivan D.,Genetics of homotopy theory and the Adams conjecture, Ann. of Math.100 (1974), 1–79.

    Article  MathSciNet  Google Scholar 

  17. Switzer R. M.,Algebraic Topology—Homotopy and Homology Berlin-Heidelberg-New York, Springer-Verlag 1975.

    MATH  Google Scholar 

  18. Yosimura Z.,On cohomology theories of infinite CW-complexes II, Publ. Res. Inst. Math. Sci.8 (1973), 483–508.

    MathSciNet  Google Scholar 

  19. Yosimura Z.,Universal coefficient sequences for cohomology theories of CW-spectra, Osaka J. Math.12 (1975), 305–323.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Forschungsinstitut für Mathematik, Eidgenössische Technische Hochschule, CH-8092, Zürich

    Martin Huber & Willi Meier

  2. Mathematical Institute, University of Oxford, OX1 3LB, Oxford

    Martin Huber & Willi Meier

Authors
  1. Martin Huber
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Willi Meier
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Prof. B. Eckmann on the occasion of his sixtieth birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huber, M., Meier, W. Cohomology theories and infiniteCW-complexes. Commentarii Mathematici Helvetici 53, 239–257 (1978). https://doi.org/10.1007/BF02566076

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566076

Keywords

Search

Navigation