Splitting monoidal stable model categories
نویسندگان
چکیده
منابع مشابه
Splitting Monoidal Stable Model Categories
If C is a stable model category with a monoidal product then the set of homotopy classes of self-maps of the unit forms a commutative ring, [S, S] . An idempotent e of this ring will split the homotopy category: [X,Y ] ∼= e[X,Y ]⊕(1−e)[X,Y ] . We prove that provided the localised model structures exist, this splitting of the homotopy category comes from a splitting of the model category, that i...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2009
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2008.10.004