The Regular Complex in the $BP\rangle 1 \langle$-Adams Spectral Sequence
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- by Jesús González PDF
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Abstract:
We give a complete description of the quotient complex $\mathcal {C}$ obtained by dividing out the $\mathbb {F}_{p}$ Eilenberg-Mac Lane wedge summands in the first term of the $BP\langle 1\rangle$–Adams spectral sequence for the sphere spectrum $S^0$. We also give a detailed computation of the cohomology groups $H^{s,t}(\mathcal {C})$ and obtain as a consequence a vanishing line of slope $(p^{2}-p-1)^{-1}$ in their usual $(t-s, s)$ representation. These calculations are interpreted as giving general simple conditions to lift homotopy classes through a $BP\langle 1 \rangle$ resolution of $S^0$.References
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Additional Information
- Jesús González
- Affiliation: Departamento de Matemáticas. Cinvestav. AP 14-740. Mexico DF, Mexico
- Email: jesus@math.cinvestav.mx
- Received by editor(s): August 2, 1994
- Additional Notes: The author held a fellowship from the Conacyt while this research was performed
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 2629-2664
- MSC (1991): Primary 55T15; Secondary 55P42
- DOI: https://doi.org/10.1090/S0002-9947-98-02263-6
- MathSciNet review: 1617336