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Oct 11, 2010 at 5:06 comment added Tyler Lawson Those would both be cofibrations (in particular, they are coproduct with a cofibrant object) in the standard model structure, which has fibrations being levelwise surjections.
Oct 9, 2010 at 7:53 comment added Torsten Ekedahl I haven't really thought about what the exact conditions needed to get a model category structure (though I am sure that people have done it). It is quite possible however that there is a model structure where these would be cofibrations.
Oct 9, 2010 at 6:43 vote accept domenico fiorenza
Oct 8, 2010 at 19:30 comment added domenico fiorenza so if instead of $\Omega^\bullet(X\otimes \mathbb{R}^n)$ I would use $\Omega^\bullet(X)\otimes \Omega^\bullet_{poly}(\mathbb{R}^n)$ would that work? (here $\Omega^\bullet_{poly}(\mathbb{R}^n$ means polynomial differential forms on $\mathbb{R}^n$)
Oct 8, 2010 at 17:52 history edited Torsten Ekedahl CC BY-SA 2.5
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Oct 8, 2010 at 17:46 history answered Torsten Ekedahl CC BY-SA 2.5