Timeline for What is an example of a compact smooth manifold whose K-theory and Cech cohomology are not isomorphic?
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Nov 15 at 23:26 | comment | added | dsh | Should not $K^0(\mathbb{R}P^4)=K^0(\mathbb{R}P^5)$ be $\mathbb Z\oplus \mathbb Z/8?$ | |
| Jul 5, 2010 at 23:23 | comment | added | Tom Goodwillie | $\mathbb RP^5$ is just as good an example as $\mathbb RP^4$. The inclusion of the latter in the former induces isomorphisms in $H^{even}$ and in $K^0$. | |
| Jul 5, 2010 at 19:44 | comment | added | Greg Friedman | Are there any easy orientable examples? | |
| Jul 4, 2010 at 19:28 | vote | accept | Efton Park | ||
| Jul 3, 2010 at 5:14 | comment | added | Allen Hatcher | Another reference for the calculation of the complex K-theory of real projective spaces is Atiyah's K-theory book, Proposition 2.7.7. | |
| Jul 3, 2010 at 3:56 | history | edited | Tom Goodwillie | CC BY-SA 2.5 |
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| Jul 3, 2010 at 3:13 | history | edited | Tom Goodwillie | CC BY-SA 2.5 |
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| Jul 3, 2010 at 2:26 | history | answered | Tom Goodwillie | CC BY-SA 2.5 |