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] S. Feder, Immersions and embeddings in complex projective spaces, Topology 4 (1965), 143-158. MR 32 #1717. MR 0184244 (32:1717)
- [2] -, Non-immersion theorems for complex and quaternionic projective spaces, Bol. Soc. Mat. Mexicana (2) 11 (1966), 62-67. MR 38 #721. MR 0232396 (38:721)
- [3] D. Husemoller, Fiber bundles, McGraw-Hill, New York, 1966. MR 37 #4821. MR 0229247 (37:4821)
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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
