The model category of maps of spaces is not cofibrantly generated

Chorny, Boris

doi:10.1090/S0002-9939-03-06901-6

The model category of maps of spaces is not cofibrantly generated
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Proc. Amer. Math. Soc. 131 (2003), 2255-2259 Request permission

Correction: Proc. Amer. Math. Soc. 88 (1983), 689-690.

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.

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