Timeline for Representing rational homology by manifolds
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Oct 4, 2021 at 13:54 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
a minor typo
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| Nov 2, 2011 at 20:02 | comment | added | Johannes Ebert | No, this (the argument, not the conclusion) is incorrect. Because the complex cobordism ring is torsion-free, the argument, if correct, would apply to (integral) complex cobordism as well (the target of $F$ is a homology theory). It would follow that $MU_{\ast} (M)= H_{\ast}(M;MU_{\ast})$. In other words, the complex cobordism spectrum would be a wedge of Eilenberg-MacLane spectra, which is wrong. The mistake in the argument is that the proposed $F$ is not a transformation of homology theories (it does not commute with the boundary maps). | |
| Nov 2, 2011 at 17:51 | history | answered | Lost | CC BY-SA 3.0 |