Stable Homotopy Seminar, 7: Constructing Model Categories
Channel: Paul VanKoughnett
Date: 05/04/2021

A stroll through the recognition theorem for cofibrantly generated model categories, using it to construct (1) the Quillen/Serre model structure on topological spaces and (2) the levelwise model structure on spectra. The latter captures the idea that spectra are sequences of spaces, but not their stability -- we will fix this with the stable model structure in the next video!

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This is part of an informal seminar about stable homotopy theory led by Paul VanKoughnett. For notes and more info, see https://www.math.purdue.edu/~pvankoug/spectra/index.html