Skip to main content
Log in

On combinatorial submanifolds of differentiable manifolds

  • Published:
Commentarii Mathematici Helvetici

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

References

  1. S. Cairns,Homeomorphisms between topological manifolds and analytic manifolds. Ann. of Math.,41 (1940), 796–808.

    Article  MathSciNet  Google Scholar 

  2. S. Cairns,Introduction of a Riemann ian geometry on a triangulable 4-manifold. Ann. of Math.,45 (1944), 218–219.

    Article  MathSciNet  Google Scholar 

  3. M. Hirsch,An exact sequence in differential topology. Bull. Amer. Math. Soc.,66 (1960), 322–323.

    MathSciNet  MATH  Google Scholar 

  4. M. Hirsch,On imbedding differentiable manifolds in Euclid ean space. Ann. of Math.,73 (1960).

  5. J. Milnor,Differentiable manifolds which are homotopy spheres. Princeton University 1959 (mimeographed).

  6. J. Munkres,Obstructions to the smoothing of piecewise-differentiable homeomorphisms. Ann. of Math.,72 (1960), 521–554.

    Article  MathSciNet  Google Scholar 

  7. J. Munkres,Obstructions to imposing differentiable structures. To appear.

  8. S. Smale,Diffeomorphisms of the 2-sphere. Proc. Amer. Math. Soc.,10 (1959), 621–626.

    Article  MathSciNet  MATH  Google Scholar 

  9. S. Smale,Generalized Poincaré’ s conjecture in dimensions greater than. 4. Ann. of Math., to appear.

  10. S. Smale,Differentiable and combinatorial structures on manifolds. Ann. of Math., to appear.

  11. J. Stallings,Polyhedral homotopy spheres, Bull., Amer. Math. Soc.,66 (1960), 485–488.

    MathSciNet  MATH  Google Scholar 

  12. R. Thom,Des variétés triangulées aux variétés différentiables. Proc. Int. Cong. Math., 1958, Cambridge Univ. Press, (1960), 248–255.

  13. J. H. C. Whitehead,Manifolds with transverse fields in Euclide an space. Ann. of Math.,73 (1960), 154–212.

    Article  MathSciNet  Google Scholar 

  14. J. H. C. Whitehead,Simplicial spaces, nuclei and m-groups. Proc. Lond. Math. Soc.,45 (1939), 243–327.

    MathSciNet  MATH  Google Scholar 

  15. J. H. C. Whitehead,On C 1 complexes, Ann. of Math.,41 (1940), 809–824.

    Article  MathSciNet  Google Scholar 

  16. S. Cairns, The manifold smoothing problem, Bull. Amer. Math. Soc.,67 (1961), 237–238.

    MathSciNet  MATH  Google Scholar 

  17. D. McMillan, Cartesian products of contractible manifolds, Bull. Amer. Math. Soc.,67 (1961), 510–514.

    Article  MathSciNet  MATH  Google Scholar 

  18. D. Montgomery andH. Samelson, Examples for differentiable group actions on spheres Proc. Nat. Acad. Sci. U.S.A.47 (1961), 1202–1205.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hirsch, M.W. On combinatorial submanifolds of differentiable manifolds. Commentarii Mathematici Helvetici 36, 103–111 (1962). https://doi.org/10.1007/BF02566895

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566895

Keywords