5 problems

Let $i$ and $n$ be positive integers, let $z_j$ be variables, let $\mathcal{D}_j$ be the operators appearing in the modified Schubert-polynomial formalism, and let $\partial_j$ den…

Let $u$, $v$, and $w$ be permutations, let $partial_{w/v}$ denote the skew divided difference operator characterized by … and let $\mathfrak{S}_u(x)$ be the single Schubert polynom…

Let $U$ be the domain of a map $f$, let $p\in U$, and for each relevant order $j$ let $f^{\rangle j\langle}(\mathbf v;\mathbf s)$ denote the corresponding generalized divided diffe…

Let $k$ be a nonnegative integer, and let $\mathcal C^{[k]}$ and $\mathcal C^{\langle k\rangle}$ denote the two classes of maps defined in the paper using cubic and generalized div…

Let $\mathbb{K}$ be a field, and consider the notions of simplicial smoothness and cubical smoothness for maps defined using simplicial and cubic divided differences, respectively.…