New Turán exponents for two extremal hypergraph problems

Chong Shangguan, Itzhak Tamo

An $r$-uniform hypergraph is called $t$-cancellative if for any $t+2$ distinct edges $A_1,\dots ,A_t,B,C$, it holds that $({\cup }_{i=1}^t{A}_i)\cup B\ne ({\cup }_{i=1}^t{A}_i)\cup C$. It…