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The model category of maps of spaces is not cofibrantly generated
Authors:Boris Chorny
Institution:Einstein Institute of Mathematics, Givat Ram, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
Abstract:We show that the model category of diagrams of spaces generated by a proper class of orbits is not cofibrantly generated. In particular, the category of maps between spaces may be supplied with a non-cofibrantly generated model structure.

Keywords:Model category  equivariant homotopy  non-cofibrantly generated
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