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Feb 23 at 17:36 comment added Dominic van der Zypen That's right, will do it.
Feb 23 at 8:59 comment added bof Don't you think the question about hypergraphs should be replaced by the simpler but equivalent question about graphs?
Feb 16 at 0:06 comment added bof Maybe I'm missing something but it seems to me that a hypergraph $\mathcal A$ satisfies your two conditions if and only if the ordinary graph $\bigcup_{A\in\mathcal A}[A]^2$ satisfies them. So you are asking if there is a graph $G$ with chromatic number $\chi(G)\gt\kappa$ which does not have the complete graph $K_\kappa$ as a minor. Am I right?
Feb 15 at 18:05 history edited Dominic van der Zypen CC BY-SA 4.0
added 13 characters in body
Apr 29, 2021 at 11:43 history asked Dominic van der Zypen CC BY-SA 4.0