Timeline for Are spectra really the same as cohomology theories?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 9, 2022 at 17:34 | comment | added | Tom Goodwillie | Yes, they're the same. The canonical map from $\Sigma^2(BU\times \mathbb Z)$ to $BU\times \mathbb Z$ factors through $BU\times 0$. | |
| Jul 9, 2022 at 15:20 | comment | added | CNS709 | Why $H_i(KU) \cong \mathrm{colim}_n H_{2n +i}(BU)$ and not $H_i(KU) \cong \mathrm{colim}_n H_{2n +i}(BU \times \mathbb{Z})$? Are they the same? | |
| Jan 1, 2013 at 15:54 | comment | added | Tom Goodwillie | The integral homology of $KU$ is a favorite example, but I hadn't realized it was example of this phenomenon until I thought a while. | |
| Jan 1, 2013 at 13:55 | vote | accept | Akhil Mathew | ||
| Jan 1, 2013 at 13:33 | comment | added | Peter May | Nice, I should have remembered that. Notice how classical it is. | |
| Jan 1, 2013 at 8:55 | comment | added | Eric Wofsey | This is very neat! This says that in some sense there are characteristic classes of stable vector bundles that vanish on any space but not on spectra. | |
| Jan 1, 2013 at 7:37 | history | edited | Tom Goodwillie | CC BY-SA 3.0 |
added 113 characters in body
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| Jan 1, 2013 at 7:03 | history | answered | Tom Goodwillie | CC BY-SA 3.0 |