On the stable homotopy of quaternionic and complex projective spaces.
Author: David M. Segal
Journal: Proc. Amer. Math. Soc. 25 (1970), 838-841
MSC: Primary 55.45
MathSciNet review: 0259914
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Abstract: Let the image in of stable homotopy under the Hurewicz homomorphism be . Using the Adams spectral sequence for the -primary stable homotopy of quaternionic and complex projective spaces it is shown that is if is even and is if is odd.
-  Mark Mahowald, The metastable homotopy of 𝑆ⁿ, Memoirs of the American Mathematical Society, No. 72, American Mathematical Society, Providence, R.I., 1967. MR 0236923
-  Robert E. Mosher, Some stable homotopy of complex projective space, Topology 7 (1968), 179–193. MR 0227985, https://doi.org/10.1016/0040-9383(68)90026-8
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Keywords: Complex projective space, quaternionic projective space, Hurewicz homomorphism, Adams spectral sequence
Article copyright: © Copyright 1970 American Mathematical Society