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Nov 22, 2019 at 17:56 comment added Sam Hopkins Right, it does not seem appropriate for your setting, but worth noting.
Nov 22, 2019 at 17:54 comment added Yemon Choi @SamHopkins Thanks - this is almost the same although note that my construction allows the empty set to belong to ${\mathcal F}\wedge\Gamma$. Moreover, since in that language I want to delete some vertices and then remove some hyperedges, I seem to have a sub-subhypergraph where the first sub doesn't mean the same as the second sub ... :-/
Nov 22, 2019 at 17:41 comment added Sam Hopkins For what it's worth, Wikipedia uses "subhypergraph" for your construction: en.wikipedia.org/wiki/Hypergraph#Terminology
Nov 22, 2019 at 17:38 history asked Yemon Choi CC BY-SA 4.0