Timeline for Counterexample in cohomology for symmetric spectra?
Current License: CC BY-SA 3.0
6 events
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| Jul 29, 2014 at 10:50 | history | edited | David White | CC BY-SA 3.0 |
Fixed typo
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| May 24, 2012 at 16:23 | comment | added | Tyler Lawson | David: I want the spaces to be levelwise fibrant, but don't want the spectrum itself to be fibrant. | |
| May 24, 2012 at 15:09 | comment | added | David White | I'm confused. If $E'$ is an injective $\Omega$-spectrum then the "behaves correctly" in the OP's quote should force $E^0$ to take levelwise equivalences to isomorphisms (this is Corollary 3.1.8 and Definition 3.1.3 in the HSS article). So don't you want your recipe to make $E'$ an $\Omega$ spectrum but not injective? If so, then I imagine you don't want to take fibrant replacement of the product, as your comment suggests. | |
| Mar 30, 2012 at 5:50 | vote | accept | skupers | ||
| Mar 23, 2012 at 14:00 | comment | added | Tyler Lawson |
shoot. I want the smash product to actually be replaced by a fibrant replacement of the smash product when constructing $E′$. the cohomology group should also be the E-cohomology of $B\Sigma_n$, which splits off a copy of the E-cohomology of a point.
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| Mar 23, 2012 at 4:09 | history | answered | Tyler Lawson | CC BY-SA 3.0 |