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arXiv · 1012.4109

Brown representability often fails for homotopy categories of complexes

George Ciprian Modoi·Jan Stovicek
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Abstract

We show that for the homotopy category K(Ab) of complexes of abelian groups, both Brown representability and Brown representability for the dual fail. We also provide an example of a localizing subcategory of K(Ab) for which the inclusion into K(Ab) does not have a right adjoint.

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George Ciprian Modoi, Jan Stovicek. 2011-08-19. Brown representability often fails for homotopy categories of complexes. https://doi.org/10.1017/is011010026jkt167

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