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Some stable homotopy of complex projective space
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mosher, Robert E. |
| Copyright Year | 1968 |
| Abstract | IN ORDER to analyze the suspension homomorphism it is natural to study the stable homotopy of K(Z, n)spaces; recently Mahowald and Williams [IO] have made detailed calculations in the metastable range. However, this range is negligible in the important space K(Z, 2), alias the complex projective space CP. In this paper we use some recent techniques to revitalize an old tool, the spectral sequence obtained from the stable homotopy exact couple. Under the usual multiplication on CP, the stable homotopy n*TP becomes a graded ring and the spectral sequence is a spectral sequence of rings. The free part of this ring is easy to obtain; the torsion seems quite complicated. Nonetheless, our general results give information about differentials d’for arbitrarily large r. Considerable calculation of n*TP is feasible. |
| Starting Page | 179 |
| Ending Page | 193 |
| Page Count | 15 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/0040-9383(68)90026-8 |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/82547916.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/0040-9383%2868%2990026-8 |
| Volume Number | 7 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
