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On stable James numbers of stunted complex or quaternionic projective spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ōshima, Hideaki |
| Copyright Year | 1979 |
| Abstract | where {X, Y} denotes the group of stable maps from a pointed space X to an other pointed space Y. In the previous papers [5, 8, 9, 10] we used the notations ks(FP n n ~\ S) instead of F{ny k} and estimated F{l,k}. The first purpose of this note is to determine F{n, k} for small k, that is, we shall determine H{n,k} for ^^4, estimate them for k=5, determine C{n, k} for k^S and estimate them for k=9 and 10. These shall be done in §2 and §3. The second purpose is to show that F{n, k} can be identified with the James numbers defined by James in [6]. This shall be done in §4. An application of this note to -F-projective stable stems shall be given in [11]. In this note we work in the stable category of pointed spaces and stable maps between them, and we use Toda's notations of stable stems and Toda brackets in [14] freely. The author wishes to thank Mr. Y. Hirashima for his kind advices. |
| Starting Page | 479 |
| Ending Page | 504 |
| Page Count | 26 |
| File Format | PDF HTM / HTML |
| DOI | 10.18910/3855 |
| Volume Number | 16 |
| Alternate Webpage(s) | http://dlisv03.media.osaka-cu.ac.jp/contents/osakacu/sugaku/111F0000002-01602-15.pdf |
| Alternate Webpage(s) | https://doi.org/10.18910/3855 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
