3 problems

Let $L$ be a tropical linear space, and call it series-parallel when it arises from a matroidal decomposition whose facets are polytopes of series-parallel matroids. For a $d$-dime…

A tropical $d$-plane in $n$-space is a tropical linear space of dimension $d$ in $n$-space. Let $i$ be a face dimension, and map the space to the quotient by the diagonal line: … A…

Let $M$ be a rank-$k$ matroid on $[n]:=\{1,\dots,n\}$. A tropical linear space is a $(k-1)$-dimensional balanced polyhedral complex in tropical projective space, dual to a coherent…