Ju n 20 06 COMPARING HOMOTOPY CATEGORIES
نویسنده
چکیده
Given a suitable functor T : C → D between model categories, we define a long exact sequence relating the homotopy groups of any X ∈ C with those of TX , and use this to describe an obstruction theory for lifting an object G ∈ D to C. Examples include finding spaces with given homology or homotopy groups.
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