Timeline for Torsion in K-theory versus torsion in cohomology
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Jul 8, 2010 at 0:32 | history | edited | Charles Rezk | CC BY-SA 2.5 |
one more time
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| Jul 8, 2010 at 0:31 | comment | added | Charles Rezk | Indeed, Tom is correct. I keep confusing the dimensions in the map, and the dimensions in the resulting cell complex (the cofiber). Argh. | |
| Jul 7, 2010 at 20:37 | comment | added | Dan Ramras |
I think Tom is right. Letting $C_n (p)$ denote the cofiber of the degree p self map of $S^{n-1}$, the Adams map is a mapping $C_{n+2p-2} (p) \to C_n (p)$. Charles, under what conditions does the Adams map induce an isomorphism in K-theory? Is this in Adams' J(X) IV paper?
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| Jul 7, 2010 at 3:40 | comment | added | Tom Goodwillie | The dimensions can't be right. $12-7$ should be $4=2p-2$ | |
| Jul 7, 2010 at 0:38 | comment | added | Dan Ramras | That was quick! | |
| Jul 7, 2010 at 0:37 | vote | accept | Dan Ramras | ||
| Jul 7, 2010 at 20:16 | |||||
| Jul 6, 2010 at 18:06 | history | edited | Charles Rezk | CC BY-SA 2.5 |
fixed dimensions again
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| Jul 6, 2010 at 17:32 | history | answered | Charles Rezk | CC BY-SA 2.5 |