Abstract
Open questions concerning Brown representability have recently led Rosický and Muro to formulate two test problems for Grothendieck categories. We prove that these test problems have a negative solution in the locally Grothendieck category \(\mathcal C = \bigcup_{\kappa \geq \aleph_0} {\mbox{\rm{Mod}--}K^{\kappa}}\) where K is a field.
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Research supported by MSM 0021620839 and by the PPP program of DAAD–AVČR no. MEB 101005.
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Trlifaj, J. Brown Representability Test Problems in Locally Grothendieck Categories. Appl Categor Struct 20, 97–102 (2012). https://doi.org/10.1007/s10485-010-9234-z
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DOI: https://doi.org/10.1007/s10485-010-9234-z