On the double suspension homomorphism
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- by Mark Mahowald
- Trans. Amer. Math. Soc. 214 (1975), 169-178
- DOI: https://doi.org/10.1090/S0002-9947-1975-0438333-5
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Abstract:
This paper studies the family of unstable Adams spectral sequences, $E_2^{s,t}({S^{2n + 1}})$. The main results deal with the range of filtrations for which these groups stabilize and for which the groups $E_2^{s,t}({\Omega ^2}{S^{2n + 1}},{S^{2n - 1}})$ stabilize.References
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- Mark Mahowald, The metastable homotopy of $S^{n}$, Memoirs of the American Mathematical Society, No. 72, American Mathematical Society, Providence, R.I., 1967. MR 0236923
- Mark Mahowald, The order of the image of the $J$-homomorphisms, Bull. Amer. Math. Soc. 76 (1970), 1310–1313. MR 270369, DOI 10.1090/S0002-9904-1970-12656-8
- Hirosi Toda, Order of the identity class of a suspension space, Ann. of Math. (2) 78 (1963), 300–325. MR 156347, DOI 10.2307/1970345
- Edward B. Curtis, Simplicial homotopy theory, Advances in Math. 6 (1971), 107–209 (1971). MR 279808, DOI 10.1016/0001-8708(71)90015-6
Bibliographic Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 214 (1975), 169-178
- MSC: Primary 55D40; Secondary 55H15
- DOI: https://doi.org/10.1090/S0002-9947-1975-0438333-5
- MathSciNet review: 0438333