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added to global model structure on functors that theorem that the projective and the injective global model structure on functors with values in a combinatorial model category is itself again a combinatorial model category.
On the page global model structure on simplicial presheaves, there is mention:
The paper does not seem to be listed on the Hopf archive, and is not in the pdf of Alex’s papers. Can someone shed some light on this? Heller did have a AMS monograph entitled Homotopy Theorie.
Possibly a typo, I forget what happened. But the entry says it wants to be pointing to that article that
The fact that the global injective model structure yields a proper simplicial cofibrantly generated model category is originally due to
so one can just check. Whatever references by Heller you have on model structures on simplicial presheaves, use them to replace the broken citation.
I suspect the reference is to Heller’s monograph Homotopy theories, which IIRC did use an injective model structure on simplicial presheaves.
I haven’t checked Heller’s book, but Dugger says the same thing in [Universal homotopy theories]:
… there is also a Heller model structure [He] in which the cofibrations and weak equivalences are detected objectwise.
The reference [He] is [Homotopy theories], of course.
I have changed the reference, and as the Hopf archive link seems irrelevant (and useless as it stands) I have deleted that, as well. I do have a copy of Heller’s monograph that I will check with just in case.
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