Generalized Brown representability in homotopy categories

By Jirí Rosický. Theory and Applications of Categories, 2005

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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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e41b570b9d767d9f1776cf46dc647690841d08f0