The Frankl-Peng-Rodl-Talbot Question on Turan Density Intervals
Statement
Frankl, Peng, Rodl and Talbot asked in 2007 whether the set of Turan densities of families of -graphs contains intervals. It does: for every the set contains non-degenerate intervals, including one of the form .
Context
A named 2007 question about the structure of the set of hypergraph Turan densities, one of the organizing questions of extremal hypergraph theory.
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The credit is bounded and precise: the graphs for the internal spectral gadget were suggested by the models, and the authors state the other main ideas and constructions are theirs.
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