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Question. Does every hypergraph that does not admit a complete minor with $5$ elements have a coloring with $4$ colors? Below are the definitions to make this precise. If $H = (V, E)$ is a hypergraph ...

Is there a theory of hypergraph minors? I could only find some attempts to define them at papers/theses, whose main topic was something else. What would be a useful definition? Does the hypergraph ...