Abstract
For a suitable ring spectrum, such as E = HFp, the E2-term of the E-based Adams spectral sequence for a spectrum Y may be described in terms of its cohomology E∗Y, together with the action of the primary operations E∗E on it. We show how the higher terms of the spectral sequence can be similarly described in terms of the higher order truncated E-mapping algebra for Y – that is, truncations of the function spectra Fun(Y,M) for various E-modules M, equipped with the action of Fun(M,M′) on them.
| Original language | English |
|---|---|
| Pages (from-to) | 219-242 |
| Number of pages | 24 |
| Journal | Homology, Homotopy and Applications |
| Volume | 23 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2020. 2020, International Press. Permission to copy for private use granted. All Rights Reserved.
Keywords
- algebra.
- cosimplicial resolution
- differentials
- mapping
- spectral sequence
- truncation
ASJC Scopus subject areas
- Mathematics (miscellaneous)