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Some embeddings of projective spaces

Published online by Cambridge University Press:  24 October 2008

I. M. James
I. M. James
Affiliation:
The Mathematical Institute10 Parks Road Oxfokd
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Extract

1. Introduction. We say that a smooth compact manifold is embedded in q–space when there is given a regular one-one map of the manifold into q–dimensional Euclidean space. Whitney (5) has shown that embeddings always exist when q is not less than twice the dimension of the manifold.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 55 , Issue 4 , October 1959 , pp. 294 - 298
Copyright
Copyright © Cambridge Philosophical Society 1959

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References

REFERENCES

(1)Freudenthal, H.Zur Ebene Octavengeometrie. Indag. Math. 15 (1953), 195–200.CrossRefGoogle Scholar
(2)Hopf, H.Systeme symmetriBcher Bilinearformen und euklidische Modelle der projectiven Raüme. Vierteljschr. naturf. Ges. Zürich, 85 (1940), 165–77.Google Scholar
(3)Massey, W. S.On the cohomology ring of a sphere bundle. J. Math. Mech. 7 (1958), 265–90.Google Scholar
(4)Thom, R.Espaces fibrés en sphères et carres de Steenrod. Ann. Éc. Norm. (3), 69 (1952), 109–82.CrossRefGoogle Scholar
(5)Whitney, H.The self-intersections of a smooth n–manifold in 2n–spaoe. Ann. Math., Princeton, 45 (1944), 220–46.Google Scholar