Immersions and embeddings of projective spaces
Authors:
S. Feder and D. M. Segal
Journal:
Proc. Amer. Math. Soc. 35 (1972), 590-592
MSC:
Primary 57D40
DOI:
https://doi.org/10.1090/S0002-9939-1972-0321111-8
MathSciNet review:
0321111
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Abstract | References | Similar Articles | Additional Information
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.
- [1] Samuel Feder, Immersions and embeddings in complex projective spaces, Topology 4 (1965), 143–158. MR 0184244, https://doi.org/10.1016/0040-9383(65)90062-5
- [2] S. Feder, Non-immersion theorems for complex and quaternionic projective spaces., Bol. Soc. Mat. Mexicana (2) 11 (1966), 62–67. MR 0232396
- [3] Dale Husemoller, Fibre bundles, McGraw-Hill Book Co., New York-London-Sydney, 1966. MR 0229247
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0321111-8
Keywords:
Embedding,
immersion,
spin representation,
K-Theory,
complex projective space,
quaternionic projective space
Article copyright:
© Copyright 1972
American Mathematical Society