Immersions and embeddings of projective spaces

Feder, S.; Segal, D. M.

doi:10.1090/S0002-9939-1972-0321111-8

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Immersions and embeddings of projective spaces
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by S. Feder and D. M. Segal PDF

Proc. Amer. Math. Soc. 35 (1972), 590-592 Request permission

Abstract:

The topic is embedding and immersions of complex and quaternionic projective spaces. The results are obtained using spin representations and relating these with the various K-theories in which they occur. A numerical result on nonembeddings and and nonimmersions is obtained.

References

Samuel Feder, Immersions and embeddings in complex projective spaces, Topology 4 (1965), 143–158. MR 184244, DOI 10.1016/0040-9383(65)90062-5
S. Feder, Non-immersion theorems for complex and quaternionic projective spaces, Bol. Soc. Mat. Mexicana (2) 11 (1966), 62–67. MR 232396
Dale Husemoller, Fibre bundles, McGraw-Hill Book Co., New York-London-Sydney, 1966. MR 0229247