2 problems

An affine-invariant property $\mathcal P$ is subspace hereditary if, whenever $f:\mathbb{F}^n\to [R]$ satisfies $\mathcal P$, the restriction of $f$ to every affine subspace of…

Let $p$ be a prime, and let an affine-invariant property $\mathcal{P}$ assign to functions $f:\mathbb{F}_p^n\to [R]$ a property that is preserved under affine transformations. The…