un 2 00 5 GENERALIZED BROWN REPRESETABILITY IN HOMOTOPY CATEGORIES
نویسنده
چکیده
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 K is suitably determined by λ-small objects then its homotopy category Ho(K) is approximated by cohomology functors defined on those λ-small objects. In the case of simplicial sets, we have λ = ω 1 , i.e., λ-small means countable.
منابع مشابه
Generalized Brown Representability in Homotopy Categories
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 K is suitably determined by λ-small objects then its homotopy category Ho(K) is approximated by cohomology functors defined on those λ-small objects. In the case of simplicial sets, we have λ = ω1, i.e., λ-small means countable.
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تاریخ انتشار 2005