Generalized Brown representability in homotopy categories
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Periodical |
| Magazine / Source | Theory and Applications of Categories |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Quillen model category; Brown representability; accessible category |
| Description | Brown representability approximates the homotopy category of spectra by means of cohomology functors defined on finite spectra. We will show that if a model category is suitably determined by small objects then its homotopy category is approximated by cohomology functors defined on these small objects. |
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