Skip to main content
SpringerLink
Log in

On the homotopy groups of unions of spaces

  • 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.

References

  1. A. L. Blakers andW. S. Massey. The homotopy groups of a triad I, Ann. of Math. 53 (1951), 161–205.

    Article  MathSciNet  Google Scholar 

  2. S. C. Chang, Homotopy invariants and continuous mappings, Proc. Royal Soc. A, 202 (1950), 253–263.

    MATH  Google Scholar 

  3. S. C. Chang, Some suspension theorems, Quart. J. Math. Oxford Ser. (2) (1950), 310–317.

    Google Scholar 

  4. S. Eilenberg andN. Steenrod, Foundations of Algebraic Topology No. 15, Princeton Mathematical Series, Princeton University Press (1952).

  5. P. J. Hilton, Calculation of the homotopy groups ofA n 2-polyhedra (I), Quart. J. Math. Oxford Ser. (2) (1950), 299–309.

    Google Scholar 

  6. P. J. Hilton, Suspension theorems and the generalized Hopf invariant, Proc. London Math. Soc. (3) 1 (1951), 462–493.

    MathSciNet  MATH  Google Scholar 

  7. J. C. Moore, Some applications of homology theory to homotopy problems, Ann. of Math. 58 (1953), 325–350.

    Article  MathSciNet  Google Scholar 

  8. J.-P. Serre andH. Cartan, Produits tensoriels, Exposé XI, Séminaire de Topologie algébrique, Ecole Normale Supérieure (1948–1949).

  9. G. W. Whitehead, Generalization of the Hopf invariant, Ann. of Math. 51 (1950), 192–238.

    Article  MathSciNet  Google Scholar 

  10. J. H. C. Whitehead, On adding relations to homotopy groups, Ann. of Math. 42 (1941), 409–428.

    Article  MathSciNet  Google Scholar 

  11. J. H. C. Whitehead, The homotopy type of a special kind of polyhedron, Ann. Soc. Polon. Math. 21 (1948), 176–186.

    MathSciNet  Google Scholar 

  12. J. H. C. Whitehead, Combinatorial homotopy I, Bull. Amer. Math. Soc., 55 (1949), 213–245.

    Article  MathSciNet  MATH  Google Scholar 

  13. J. H. C. Whitehead, Note on suspension, Quart. J. Math. Oxford, Ser. (2) (1950), 9–22.

    MathSciNet  Google Scholar 

  14. J. H. C. Whitehead, A certain exact sequence, Ann. of Math. 52 (1950), 51–110.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Pembroke College, Cambridge

    P. J. Hilton

Authors
  1. P. J. Hilton
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Prof. H. Hopf on his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hilton, P.J. On the homotopy groups of unions of spaces. Commentarii Mathematici Helvetici 29, 59–92 (1955). https://doi.org/10.1007/BF02564271

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02564271

Keywords

Search

Navigation