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arxiv: 1405.2086 · v1 · pith:MGJWU6YRnew · submitted 2014-05-08 · 🧮 math.AT

An A-based cofibrantly generated model category

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keywords categorycofibrantlyequivalencesgeneratedmodelstructurea-baseda-weak
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We develop a cofibrantly generated model category structure in the category of topological spaces in which weak equivalences are A-weak equivalences and such that the generalized CW(A)-complexes are cofibrant objects. With this structure the exponential law turns out to be a Quillen adjunction.

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