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Topological embeddings of lens spaces

Published online by Cambridge University Press:  24 October 2008

G. Vranceanu  and
T. Ganea
G. Vranceanu
Affiliation:
Institute of MathematicsR.P.R. Academy, Bucharest
T. Ganea
Affiliation:
Institute of MathematicsR.P.R. Academy, Bucharest
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Extract

Let m ≥ 0 and p, p0, …, pm be integers such that p, pj are relatively prime and 1 ≤ Pj < p for 0 ≤ j ≤ m. In the (2m + 2)-dimensional Euclidean space R2m+2 with points (x0, …, x2m+1), the (2m + l)-sphere S2m+1

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 3 , July 1961 , pp. 688 - 690
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Hopf, H.Systeme symmetrischer Bilinearformen und euklidische Modelle der projectiven Räume. Vjschr. naturf. Ges. Zürich, 85 (1940), 165–77.Google Scholar
(2)James, I. M.Some embeddings of projective spaces. Proc. Camb. Phil. Soc. 55 (1959), 294–8.CrossRefGoogle Scholar
(3)Whitney, H.The self-intersections of a smooth n-manifold in the 2n-space. Ann. Math. 45 (1944), 220–46.CrossRefGoogle Scholar