T. Tao

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math.DS2026

A Host--Kra $F_{2}^{I ¨} $ -system of order $5$ that is not Abramov of order $5$ , and non-measurability of the inverse theorem for the $U^{6} (F_{2}^{n})$ norm

Asgar Jamneshan, Or Shalom, Terence Tao

It was conjectured by Bergelson, Tao, and Ziegler \cite{btz} that every Host--Kra $\F_p^Ï$-system of order $k$ is an Abramov system of order $k$ . This conjecture has been verified…

A Host--Kra F2I¨​-system of order 5 that is not Abramov of order 5, and non-measurability of the inverse theorem for the U6(F2n​) norm

A Host--Kra $F_{2}^{I ¨} $ -system of order $5$ that is not Abramov of order $5$ , and non-measurability of the inverse theorem for the $U^{6} (F_{2}^{n})$ norm